its up to your and her insurance' claims adjuster...

also, if her estimate is only $350, its not even worth reporting to the insurance company, if your insurance pays her out on the damage, the $350 you saved is nothing compared to the "at fault" accident that goes on your record for the next 3 yrs which will probably hike up your premium by a couple hundred bucks a year.

whatever you do, try to avoid your insurance company having to pay her (the other lady) on the damage.