Hello Dpflits, and welcome. I'd like to share my recent experience with coming out to my parents to maybe help you here.
When I was younger I kept everything locked up because I didn't want to hurt/disappoint my parents. I'm 33 years old now, I have a wife and two kids. And yet I'm miserable, because I am not that attracted to women. I am bisexual, because I do have a mild attraction to my wife, of whom I learned to love, but I've been living for years as a person that I hate, and married to someone that I've had to work very hard to love.
Just a couple of weeks ago I came out to my parents as trans, and having a greater attraction to guys. They were much more understanding than I had anticipated, though I do think they would have been less understanding when I was a teenager, which is when I REALLY wanted to tell them.
The point of my story is this: Had I been comfortable with telling my parents at an earlier age, and had they been receptive, then I would have not wasted the last 15+ years of my life being miserable and hating myself.
If you truly want what's best for your child, then I beg of you to please, be nonjudgemental, and willing to listen to them. Ask them honest, and polite questions that help them know that you care about them and that you just want to understand.
And lastly, just be there for them. They might be in a scary place mentally and you're the best person to help them with that, if you approach it properly.
Goodluck.
~Love, Ashley