She's a bit of an idiot for not taking your details.
It's not your fault. You offered to pay for the damage, but she refused. Nothing you can do.
Just go on with your life. You just got away with having to pay damages.
Thankfully, the worst that ever happened to me was a broken wing-mirror. I just paid for the damage out of my pocket. No point in getting the insurance companies involved. Too much hassle.
Loughborough at number 1