The other party should pay your fixing fee

I had the same situation before. Someone scratched my car at the parking lot. Because I had witness, I claimed this to my insurance company. My insurance company sent me the check for painting my door, which was lower than my deductable. And my insurance company handled everything with the other party insurance company. There is no need at all for you to deal with the other party insurance company. You pay your car insurance, it is the insurance company's job to handle the claim.