I am assuming if your daughter ended up getting arrested for a misdmeanor, than the impounding of the car was related to that misdemeanor. Here are the Georgia impound laws. (See link
) And as you can see, it can be justifiable to impound a car pursuant to an arrest.
I don't know what your daughter is charged with, but she ought to be eligible for a public defender if she has no money to retain a private lawyer. The public defender can help you with the release of the car if you can prove your ownership of the vehicle. If your daughter is not guilty of whatever she was charged with, she has the right to go to trial
on the case, and in the course of her case there will be hearings to challenge the stop of the vehicle, as well as the search and seizure of the car and any other evidence. That's the procedure for challenging the Constitutionality of the police actions as they relate to the 4th Amendment. If it's found that anything was taken from her in violation of her rights, that evidence would get suppressed and would not be used at trial.
You can try and say that you won't accept the car back, but it's been my experience that the fees and penalties will keep mounting. If they sell the car, which they would ultimately do, and they don't get enough out of it to pay the impound fees, you'd be liable for the rest of the money.
It's pretty sneaky, but the impounding of vehicles raises big money for counties. That's why, unfortunately, police in most places don't need much of an excuse to do it.