Not having insurance normally does not bar you from recovering for someone elses negligence. Call a local personal injury attorney and see if they think you can recover. If she had no insurance, will she have any money to get.
Always call the police to get an accident report, as 99% of the time, you'll end up with the person coming after you for money. If the other person was at fault, a lawyer can go after their insurance.
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While you may have a claim against the person who hit you, it may be difficult in collecting anything from them if they do not have insurance. Your ability to file a claim is probably not effected by your lack of insurance, but you should consult with a local attorney about your options.