Lol, I hate icebreakers too. I always make sure to privately tell my professors on the first day after class that I have a stutter. They usually understand! Though sometimes I'm public about it when I have to talk aloud. Before I state my point, I say, "I have a stutter, so my words might seem off," and continue talking like nothing happened. You can do it! P.S. you should tell that professor about your stutter & why you did that, so you don't end up on his bad side.