People also don't want to be non-white, poor, or overweight, yet many of us must live with these "marks" against us every single day.
What you're experiencing is a removal of privilege that you've likely had your whole life. If you grow up white, male, middle to upper class and generally don't have any other physical issues that will make you stand out (not fat, overly ugly, etc), you can generally get along without too much in the way of problems. But if you're gay, it's like an invisible weight on your back. On one hand, you're still seen as the white male, etc by others, but if the FIND OUT that you are gay (either because you're holding hands with a guy, or you check some guy out, etc) then suddenly they're reevaluating you and sometimes that's not a good thing if they're bigoted jerks.
But the truth of the matter is that this is not YOUR problem. IT IS THE PROBLEM OF THE BIGOTED PEOPLE. You don't have the issue, it's the people who are so horribly upset by the fact that you exist that they have no other way to react than to attack you.
You being gay does not inconvenience or hurt me in any direct way, but for someone who believes various things or buys into heteronormative culture, it can be very, very shocking.
Basically, you need allies. You know you are gay, and you have generally accepted it (even though you wish it weren't true sometimes since it can be hard). But the thing is, you aren't comfortable with your gay identity and beyond just getting into the dating pool, you need to get out there and be with people who accept and welcome gay people and also meet other gay people so that you can start to change your own inner prejudices and normalize your opinion of gay people.
As I've always said, everyone hates on fat people all the time, but most of the time after meeting me (I'm fat), people drop the prejudice. I stop being a "fat chick" and start being who I am- a person. What you need is to stop dehumanizing your gayness and realize it is a human part of you and it's something that is perfectly natural in the human spectrum of behaviors and desires. Once you get to that point, I predict that it will be much easier for you to accept yourself as you are.