As above the main thing is you're OK. It's only a car, an insured asset.
I always dreaded the body shop in the silver car, a real nightmare to match.
The Mrs was run into in 2014, within a day or two we started getting the phone calls about personal injury. Not sure who gave her details, possibly the insurance pleb or maybe the hire company.
She did have some soft tissue damage and saw her Dr. But she never claimed as she said it was slight and she'd be lying if she said it was anything other than a bit uncomfortable. Also the girl who ran into her was devastated and only a few years older than our kids so she said she hoped karma would pay her back if it was ever one of ours. (not likely and there's no such thing as karma imo...)
Even the body shop we chose were on the take, I asked if they could spray the front bumper whilst it was in and they had mixed the paint and I'd pay separately. The guy said he'd just add it to the quote. I insisted that I paid (c£150 iirc so very cheap imo for a bumper off job) I think he got our stance.
Everyone's on the take, not realising who ends up paying.
Hope you get the repair done to your satisfaction, but I don't envy you one bit, I know I'd be a mare with them unless it was 100%.