In Ohio, on my last accident of 15 years ago, I was found at fault because I hit the other car from behind.
Now this car I hit was in the right turning lane on a 55 MPH causeway, and pulled into the through lane and stopped, even though the light was green, and I simply had no way to slow down quick enough - never expected a car in a turn lane to enter my lane and stop on a green light.
The idiot didn't know where he was, and thought he needed the other lane, and was undecided on where to go next ...
Even with him admitting what he did, I was at fault automatically because I hit him from behind.
See if your state has similar laws, and you can sue the lady that actually hit you, regardless if she was the cause of the accident or not.