I'm going to go after a girl that rear-ended me and destroyed my car
What do you mean by go after her? I hope you don't plan on doing something stupid.
I'm going to sue her for compensation
I think you're making the right choice.  You're within your right to sue somebody to get compensation for harm they caused you or your property.  I hope you get some money for it!
Yeah, I think she's super rich and I'll get so much money out of this.
Yeah, it sounds justified if she is responsible for the accident. You should definitely seek out a lawyer. It sounds like you've got a good chance to win!