I think in your last question, you got lots of answers telling you that majority of people do not think boys who ride horses are gay just because they go horse riding. How many top level riders are men? How many of them are gay? Just ignore the idiots, because they are idiots. They're going to feel mortified when they look back after they grow up. Being gay makes you gay. That is the only thing that does.
Nope being an equestrian doesn't determine your sexuality. People just make fun of it because they don't understand the sport and the fun it brings :) I think everyone, boys, girls, whoever in the LGBTQ community have all the rights to ride and to fulfill their life with this amazing sport. You are brave!
Keep going and riding!