Juulie, I had a hard game last year (I think I even posted about it) that I came away from just feeling lousy about. In retrospect what I learned from that game is that sometimes that lousy feeling comes because somebody else makes the situation impossible to handle any other way. In my game it was calling a lot of fouls, including a T, late in a blowout against the losing team. In your case it was tossing a coach. In both cases we did a good job, we did the right thing, and it feels icky because somebody else screwed up.
So let go of the lousy feeling and move on. But you can harbor some resentment for the coach 'cause she loused up the streak you had going.