Not clear why you had no choice but to issue a T Chuck. Obviously, if ball is live with 6 on the court, it is normally a T. But if you made it live too quickly, because B1 had just legally entered court and you gave B2 no chance to get off, you should have a quick whistle, give B a chance to make it right, and continue on. I think this is the flipside of your inadvertent whistle - and inadvertent live ball
It is not proper to T up B in this situation. Perhaps you meant to say that you shouldn't have T'd them up, but that isn't clear from my reading of your post.