This is an odd question:
Was the woman genuinely sorry that she hit you? Was it just an unfortunate accident or an act of aggressive road rage?
If she was sorry, and it was an obvious accident, don't sue her because you're all sore. If her insurance is paying for a new bike, and your medical bills, then why would you bring her to court in such a bad economy?
As someone who has a brother who's been on the opposite side of this spectrum (he hit another car), it really sucks to have some guy make you fix his car and then sue you for the inconvenience you caused him for awhile.
I'm just saying, that's how I approached it a couple months back with my car encounter. But, do what you think is right. Ultimately, it's your call.