Hello, I was in an auto accident, it wasnt my fault, I am not injured, but im set to lose a few thousand dollars, can anything be done

Traffic came to a complete stop on the interstate, I was rear ended. The police report and my insurance said it wasn't my fault. My car is a total loss. My insurance did reimburse, I am still set to lose a few thousand dollars. My insurance said they cant give me legal advise. I haven't been in a situation like this. I don't know what can be done. My insurance wants me to sign a POA so they can give me a check, I don't know if I will lose my rights to seek reimbursement if I do that. I would like to speak with a lawyer to see what options I have. I do know the lady who hit me does have insurance. I entered in my contact info below to receive a call. I am currently at work and possibly wont be able to answer my phone, if you could leave a voicemail, with a return name/number, I will call you back. Thank you in advance for your help!