I cheated on my girlfriend and I feel really bad about it.
It's good that you feel remorse but why did you cheat on your girlfriend?
I got excited when I was dancing with a hot girl
Although it is good you feel remorse for your actions, cheating is a serious breach of trust for your girlfriend. You can ask her to forgive you and take you back, but she may not want to now that you've cheated.
I think she will forgive me, she is madly in love with me and doesn't want to lose me.
You shouldn't assume what she wants. Cheating is a hard thing to forgive. She deserves some time before going back to a relationship with you.