Something horrible happened to me.
I'm not telling the whole story but I'll just say parents+MY fanfiction that I wrote=worst day of my life.
How should I deal with this horrible feeling?

Do anything to take your mind off of it.
Try to read, hw, anime, anything.
Get out there, hang out with some friends.
If not, just get your feelings out there somewhere.
I'm sure you're not the only one who has dealt with this situation.
If anything, regardless of what happened, you're you, just the way you are, and that's fine.

I probably didn't help, but I really hope things end okay.

basically ignore it. if it's really that embarrassing no one will want to bring it up in any case. if you stress about it it's just going to become a bigger deal. just don't forget about it. you don't want to experience that again.

Convince your parents that your going to be a writer in the future.That way, they will think that there is a purpose for you to write a fanfiction. Or just simply, hit your head so hard that you forget it.