Why do I feel so bad for my teacher?

The reason you feel bad is that you're obviously more mature than the rest of the cl and you were able to empathize with what the teacher was going through. I've played Jeopardy a lot in cles and it takes a firm hand to be able to control a game like that. If you weren't causing the trouble then you don't need to apologize -- it will just look odd. Hopefully she learned a little about game management, and will be able to maintain control next time. If she's a good teacher, she'll have learned from the experience. The ones who should apologize are the ones who acted like jerks.