Was the accident unequivocally, obviously the other driver's fault, preferably resulting in more damage to yourself than to her? This is your best hope. If so, you need to make a lot of noise about it. The idea is to deflect attention from your own lack of insurance by focusing on her negligence. "But sir, is it not true that you were not carrying insurance at the time of the accident?" -- "Aaargh! My neck! I'm sorry, could you repeat what you just asked? Oh my god, the pain meds are wearing off again . . ."
OTOH, if the accident was your fault, you're screwed. Unless you're already broke and-or bankrupt, in which case you've been previously screwed and thus don't have to worry about being screwed again. If they phone up with any questions, remember the Five Words: "I have nothing to say." Anything you say can only hurt you.
You already violated the First Law of the Uninsured Motorist: you got in an accident. The few times when I've driven without insurance for brief periods, I noticed that the awareness and cautiousness of my driving went up 1000%. I felt like a deer caught in headlights in the middle of the road every time I got behind the wheel, which is the right atbreastude to have in such cases. I drove carefully enough for two people (myself and the other driver who probably wasn't as sufficiently motivated as I was, blissfully ignorant in his insurance-padded comfy zone.) This is the only way to drive uninsured.