A round of applause for Alan as he's used the word bint in day to day conversation. Sir, I salute you.
As far as the claim goes - you'll either get away with it or not. Phone your insurance company again and get their thoughts on if they contested the claim what would happen etc.
The claimeeeee will have to prove it was your fault, rather than you prove it wasn't. But find out how much your insurance will go up by and if it's not much just bend over and take it. I had a claim for my first car that took almost a year through the insurance companies, lawyers and then almost the courts to fix. A bus hit me and it clearly wasn't my fault.
End result - I got my claim paid, got £50 sweetner for my troubles, but had to set aside at least 3 days of my time for lawyers visits and then a planned court case which was only canceled at 4pm the day before it was due to happen.
Worth the £50? Hell no.