Aitah for refusing to give my gf my car keys

My gf (23 F) asked for my car keys to drive to her friends house. And I was not ready for that. I just got my car 6 months ago from my hard earned money. This is my first car. I take care a lot and I am emotionally attached to it. My gf is from a financially rich background and has multiple cars in her house.

She once told me how her parents got her a car as a birthday present and she accidentally drove it into a pole and then she got a new one 5 months later.

When I said that I won't give you my car keys instead I'll drive you there, she got angry and said that men like you don't trust women drivers and how pathetic I am. But I really don't care about gender it's just I know her driving history, her car has many scratches and she doesn't even care. But I don't want her to treat my car the same so I refused her. Now she thinks I am a misogynist who doesn't let women drive

Aitah? I need really unfiltered opinions on this if i am the AH