What are my rights ? They hit me, insurance Co.wants to give me half of what my car's worth!!!?

A woman totaled my car in a parked in an apt. parking lot. The insurance company is only offered me $3200.00 . Blue book is $5500.00 , Market price in my area is 5300.00. I proved that,and they offered me $3300.00. What can I do?? The Co. is Unitrin Speciality
My car was parked. Her insurance made the offer.

If it is the others insurance company that is making you the $3200. offer. and your car is insured, you may do better going thru your own insurance company. Assuming you have collision coverage, you would pay your company your collision deductible(if any), they will determine a "totaled" value just like the other company and often your company will pay you more than the others company. If your company pays, they will go after the other company and if/when they collect they will return part or all of your deductible to you. Always, Always, use your insurance to deal with these matters. That is what you buy insurance for.