Oh Matt, I am so, so sorry that you had to go through that.
As others have said, this is about your parents, not you. Their wishes are not something they should put on you. If they can't accept you as you are, then I think it's time to distance yourself, at least for awhile.
Try to keep your relapse in perspective. Yes, it happened and you can learn from it. But, it doesn't have to keep you down. You have a lot of good sobriety, Matt.