I completely agree with Davidpingu, when I was ran off the road in my first car due to third party I was told I had to use their bodyshop, their garage, their prices etc. I refused and said I wanted it done by Vauxhall as I knew it would be done properly, ended up quoting them a full price from Vauxhall until they agreed to send the quotes over and I recieved full payment and took to Vauxhall, they were quoting me something stupidly/suspiciously cheap to repair my curbed alloys when I was sandwiched against the curb (brand new TD Pros in white) and I also refused and said I wanted to use my trusted wheel refurb specialist, again ended up waiting it out but won in the end, pretty sure they would have done a hash job and ruin my wheel
Don't let them bully you, you have the right to choose who repairs your car if you weren't at fault