What you want to do is collaborate with the driver infront, make an agreement togeather to f**k her up, if he agrees to work with you, your combined accounts of the accident should account for more than hers IF she's admitted liability at the scene aswell. You need to make sure that yours and his versions of events are close to identical, explain that you attempted to brake at least 4-5 car lengths before she had even spun round. If needs be take it to court, it's not your fault, and it's not really hers either, but seeming as she admitted liability at the scene, i think you havea chance, you just need to make sure that you tell them she admitted it, and get the other driver to tell his insurance company that too, as they will be contacting each other to compare statements! Good luck, insurance companies are f**k*rs and it could be close to ayear before you see anything from it under these circumstances.