I do have some sympathy as I bet she is rushing about trying to keep up with unrealistic appointment times etc.
Oh well like the damage to my car last month I hope the insurance takes the strain and gets you sorted asap.
For what its worth if she is happy with you doing so contact her insurers direct and don`t involve yours, the logic for doing so is it saves them money as your insurer isn`t adding costs and as a result I found they were happy to go with my choice for repairer and the hire car was delivered to my home that evening.
The company (e`sure) were actually very good once detailed photos and my garage`s quote was in their hands.
The husband of the woman who hit my car was pushing for private settlement until he found out the costs lol.
Cheers
Ian