Why wasn't the coach offered to take a time out?

"Coach, you have a choice you can put a sub in for your injured player or you may take a time out and she can stay in."

You don't want to take a time out? Ok you have 20 seconds to replace your player. Timer give me 20 seconds."

I have a nice new hybrid 2-iron that would be perfect for this.

Unless he is unsportsmanlike in the process, of course.

Of course, which leads to a question.
Ref: "Coach, I need a sub."
Coach: "Yuck Fou, I'm not giving you one."

You give the unsporting T, but do you wait to report it until the 20 second clock has expired or the sub is in? If the coach waits the full 20 seconds, does he get two now?

The coach was walking the legal path to a T if you had let her. You have no second thoughts when they do it for you by rule.

As for clocking, 20 sec. is a long time. You'd think security would step in by then. Ouch!

Whacking is much quicker.

All excellent points in this "seemingly" simple situation. First of all, I like Shaqs reminder about the 20 second timeframe. I also like shish's suggestion regarding offering a timeout request. Having been on both "sides" of this situation in the past, I would like to offer yet another possibility -- which provides some rules information, an option, then execution. If not followed, the same T will result.

I try to keep the coach off of the floor if I don't think the player is injured (knowing that the player must be replaced or a TO spent to buy the player back into the game). In youth games, players (girls more so than boys, but it applies to both) tend to think they are hurt much more seriously than they are. But, once I beckon the coach, what is done is done.

To start with, I try to stay away from the coach while he/she is working with the player. Once the player is able to get up and proceed to the sideline, I would prefer to have one of my non-foul-calling partners (or only partner) inform the coach of the situation.

Partner: Coach, as you know, the rules require that, regardless of the reason, you replace an injured player once you come out on the floor to check on the player.
Coach: That isn't fair, that was an intentional foul.
Partner: I understand coach, but the rules still state that you must replace an injured player once you come out on the floor to check on the player. Another option available to you is you can call a timeout at this time. In this case, your player would then be able to shoot her free throws. Otherwise, we need a sub per the rules.

This method allows for communicating the rule to the coach by the non-calling official. It also provides an inferred compliment to the coach (that he or she knows the rule). The option of calling the timeout is provided to the coach, as well.

I am also slower to start the 20 second clock in this case. I will NOT start the clock until the player is completely off the court and either heading to the locker room or in the bench area. At that point, I ask the timer to start the 20 second clock time interval for the substitute requesting the warning horn at the five second mark.

In this case, the fact that the coach apparently came out onto the floor without being beckoned (I know, by rule, a technical foul, but common sense tells us to allow the coach to check on the player). Once jmuvol sounded the whistle, it would have been advisable for the non-calling official to have the conversation with the coach.

If the coach continued to be belligerent in this case, an unsporting technical foul could have been called without waiting the 20 seconds, in my opinion. Would I have waited the 20 seconds as Shaqs suggests? Quite probably, yes. But, at the same time, the coach was being defiant. I could see an assignor accepting the calling of a technical foul in this case without waiting for the 20 seconds. The technical would not be for failing to provide a sub in the required 20 seconds, it would be for unsporting behavior.

BTW, what you say here is provided for directly in the case book (10.5.2 Situation A). I am pretty anal about not starting any clock until the right moment, including waiting until both teams are in their huddles before starting a time-out clock.

I like where you're going with this and, although it's not our responsibility to remind the coach he may keep the player in the game with a TO, it is likely good game management.

From what I read in the OP, jmuvol WAS the non-calling official...so by your thinking it was entirely appropriate for him to have the conversation with the coach. As you said, common sense should dictate our actions when there is a player down and not being in a hurry to start the 20-sec. replacement clock is smart.

However, there's no need to let the coach engage you in an extended discussion. I think Snaq's point is, once the player is off the floor, the 20-sec. clock is your friend and you shouldn't be afraid to use it as detailed in the rules. It didn't appear to me from the OP that the 20-sec. replacement interval was even considered.

Exactly, follow up from the OP says he was about to start it. Skipping this step can only lead to trouble, and the only benefit is it saves 20 seconds. In all likelihood, this coach won't say anything to any assigner. Coach probably doesn't even know she was due a 20 second clock.
However, the chance of this coming back to bite is bigger than the benefit of saving 20 seconds.

This was my first thought as well. You're demanding that the coach do something that she doesn't really have to do.

Ref: Coach, I need a sub.
Coach: Why? She's ok now!
Ref: If you don't want to sub, I can give you a time-out to keep her in. Which do you want?

Lesson Learned
 

Thanks for all the input folks. The thought of offering her a time out never crossed my mind. I'll store all these away for use at a later date. :)

List each check separately by bank number.
 

Girls varsity game. Blowout, late in the game. A1, winning team's best player, by far, get fouled in the act of shooting, the ball doesn't go in, I'm the lead on her free throws.

She misses the first free throw, nothing spectacular here, so far, and as I'm about to bounce the ball to her for her second try, she's not looking at me, but is looking at the floor, at a small pool of blood, from a scratch on her arm, not gushing blood, but it was a steady drip. We escort her to the bench area, where the trainer attends to her.

Meanwhile, I'm asking the site director to get some paper towels to clean up the small pool of blood on the court. Site director disappears out a side door. I advise the players to go to their bench areas. Eventually home, losing, coach, puts on some gloves, and wipes up the blood with some paper towels. Now my partner and I are getting ready to get the game going again when a custodian shows up, very upset that the coach took care of the blood, explaining to me that school rules dictate that only he can handle blood, as he proceeds to spray the area with some disinfectant, and then towels the area dry.

This has now taken about five minutes, and A1, remember her, is taped, and ready to go. I inform coach of Team A, winning, late in a blowout game, that either A1 needs a substitute, or he must take a timeout to allow A1 to shoot the free throw. He replies that he shouldn't have to take a timeout because it was blood, not an injury. I explain that the rule is very clear, and that he has the choice of a substitute, or a timeout, so he starts looking down the bench to find a substitute, when A1 tells her coach, that's right, she tells the coach, that she wants the timeout, and she wants to take the free throw. Not that I should of had one, but my opinion of her dropped a notch, she seemed selfish, because the free throw point wasn't really needed in this game, and she seemed kind of bossy to her adult coach, and I remember saying to myself, what a lot of nerve for a kid to say that to her coach. He says he'll take the timeout, which I found hard to believe, but that's not my call, and it's not really any of my business.

Now a few more minutes have passed by, and we get all the players back on the court, and lined up for the free throw by A1. After all these distractions, I announce two shots, which my partner, coaches, and fans, have no problem with. A1 says to me, "I only get one shot sir, remember I missed the first one". My opinion of her went back up a notch. Most kids would have taken the extra shot.