No, you handled it pretty much perfectly, though I wouldn't have responded at all -- just walked away.
I don't agree with this "insulted your intergrity" business. If that were the standard, we'd have games with only technical foul shots. Never argue with a coach. If he/she asks a question, answer it, then walk away, especially at the half. Any argument is fruitless as you aren't going to convince them or give them a sufficient answer, so why bother? I was confronted at the half literally dozens, perhaps hundreds, of times (perhaps that says somethign bad about me!!). I don't recall a situation where I gave an answer on a complaint that satisfied anyone.
I always figured coaches had the right to free speech, but if it was a rules infraction, it was dealt with. However, don't look for cases to stick a coach or anyone else.
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