Suing for Damages to New Car Caused in Motor Vehicle Accident

I have a brand new 2014 vehicle (leased). It's been on the road for less than a month. Last week a driver backed into me while I was stopped at a stop sign, preparing to make a right turn onto a busy highway. After getting hit, I approached the driver and asked for her insurance information. She was very frazzled, said she did not have it with her and then immediately took off. Fortunately I got her plate number and reported the accident to the police; who later charged her. There were no injuries caused by the accident, but I do want to sue this individual for her negligence which damaged my new vehicle and for which I will no doubt have to pay an additional penalty fee for when the lease is up due to the damage.