Well, assuming she has insurance, you should be fine since the accident is her fault. However it's weird that this all happened and you don't even know her name. Normally you'd call your insurance and they'd contact her insurance for payment, but since you don't have any I'm not sure what the protocol is.. Sounds like you'll have to wait for the report, then contact her insurance yourself and hope they don't dick you around. Also, when it comes to replacement or diminished value, a lot of times your insurance has to fight for this on your behalf.. You may have to get a lawyer.
But dude, how can you afford to buy an Audi yet skimp on the insurance?? If you were driving a 1995 Corolla I'd get it, but that looks like a B8 series Audi to me... Someone correct me if I'm wrong, but doesn't your car get impounded if you get pulled over without insurance in Texas?