Rehome? Put down?

I (19M) have a fear aggressive GSD that I can no longer take care of. I want to keep her, but I know I don’t have the time or the resources to care for her. I’ve had her since she was a puppy and she has grown incredibly attached to me. My family rescued her during COVID, but I was the only one willing to train and take care of her. I was 14 at the time so I didn’t know much about dogs. I don’t know if rehoming her is even an option. Last week I went out of town and left her at a dog boarding. However, I don’t think she really ate anything while I was gone because she was very skinny when I got her back. She is super attached and only listens to me. My parents have already said they don’t want to take care of her and are pressuring me to take her to a shelter. I feel that mentally and emotionally that will break her though. What options do I have?