How can I fight this car accident if I wasn't at fault?

I got in a car accident about 3 months ago and just got a letter I have to pay other driver though it was not my fault. I was driving west towards an intersection at the speed limit when I seen the other driver coming east trying to turn north. I had a solid green light to cross as I saw her trying to turn but she paused half way through the intersection. I tried to avoid her but it was too late we hit head on. I got off and went to see if she was fine and she seemed fine just looked shocked. I advised her I had right of way and she agreed unfortunately there was no witnesses just us 2. Emergency units were called and when they arrived she said she was hurt but I was fine. Both cars were totalled and we both had insurance. Now unfortunately I got a citation for no driver license cause its suspended. I had to get a police report to get her info since she left in ambulance. Police report didn't say who was at fault. It said we both had green lights. Now there was a camera at the light but I don't know how to get that evidence. Here's the part I'm having trouble with my insurance doesn't wanna help cause I was an excluded driver for the suspended license fact so they disqualified my claim. I tried to make a claim with her insurance but got denied cause she says I was at fault but police report doesn't say who was at fault. I tried getting an attorney but since I didn't get hurt no one wants to take the case. Now they want me to pay for her damages even after they admitted they couldn't find who was at fault. So I ask what can I do on this, and how can I handle it cause I don't want to pay for somethin that wasn't my fault.