Didn't make a police report, do I still have a case for this car accident?

I have read your question, and it starts out simple enough, except at the point where the other person weaved into the middle lane, and ped then turned into you, still makes it look as if you failed to yield the right of way kinda, I think the time to call the police was then, for all I know or you for that matter she was drinking anyhow, normal people hit you, or try to stop, but dont weave around you, then cut back in and hit you? from what this really sounds like, is she hit you, so we are back to that.. Well it has to go through insurance anyhow, if you tell the insurance company, you are not at fault, that she weaved around you then hit you, and stick to your statement that she hit you, no matter what, the insurance should write this down as a not at fault for you (thats good) but you have to be clear, and not admit fault later, or they will change it to at fault ok?