How to apolOgize to my mom?

I'm 20 and I just told my mom that it's embarrassing to drop me off at a party. Ok so o just got my License on Tuesday and I'm a good driver, but still without a car, I asked my mom to borrow her car and she said no but she could drop me off and I told her it will be embarrassing but she took it the wrong way and started telling all he past times of me doing dumb things. I tried telling her im sorry but she wouldn't listen. What can I do??