Based on my recent dealings with an insurance company- irrespective of right/ wrong or liability- they will all try and make money out of the situation.
Your insurance company will soon be calling you to a) suggest that you have whiplash and b) you need a hire car!!
Then months later they will threaten you with loss recovery when the other side doesn't cough up for their inflated costs.
And this was all down to a no fault accident when someone simply drove straight into the side of my wife's comprehensively insured car.
Good luck with all of this- but try and extricate yourself from any of it.