Only reason I could see not wanting a report, would be since then it might go on you're driving record. So could potentioly drive up your insurance, I know insurance companies say your rates don't go up if you are not at fault, but that is not always true.
If damage is over $500 you legaly have to have a police report filed.
Loki glad to hear you and you're bike were not more seriously hurt. I agree with the others go after the lady's insurance company have them pay for all the repairs to you're bike etc and have a bike shop check out the bike completely. Never know if there is a hairly line crack somewhere in you're frame or fork and be sure to document EVERYTHING keep all you're medical records from this etc...