I have a reason for you. I know you're in a lot of pain right now and it's obvious that your father is being abusive to you both physically and mentally. But luckily there are more people in the world than just your family, who seem to treat you very badly. There are many people who would and do accept you for who you are. So please reconsider ending your life because your life will change and you can one day surround yourself with people who love you for who you are. You can find love and friendship out there, and it does not have to be from your family.
I know that having your family treat you so badly hurts very much. I am pretty much the black sheep of my own family (no they don't even know about the ABDL stuff, even.) I got disowned twice, then taken back, then politely told that things were better when I wasn't around, again. Just like you, it was for unfair reasons - they found my introversion, aspergers and anxiety to be intolerable. They had a difficult time understanding me and why I was different, and my mother never really liked the fact that I did not grow up into the daughter she wanted. It hurts so much to hear that your own family does not love you unconditionally. But you CAN find love out there somewhere, and there IS hope, and it WILL get better for you. Right now things suck but later on your life will improve. LGBT's have a really hard time as teens because other teens are not quite mature enough to handle difference. As an adult, in your twenties/thirties etc, things will be better. It won't be perfect, but all the time the LGBT community is making great strides towards equality.
Think about that, too. You're part of a community - the LGBT community. They will gladly accept you for who you are. So please think about this. Things hurt so much right now but things will not hurt forever. It's impossible for pain to last forever. You're NOT alone, even though it feels like it. You're not bad and you're not unworthy of love or life just because you happen to have a very judgmental and, frankly abusive, immediate family. You can choose your own family, especially when you are more independent. So just hang in there and know that things won't be this bad forever. Things will get better.
If you need help right now please call : 1 800 246 7743 (for youths) or 1 888 843 4564 (for adults). If you are having thoughts of suicide, a suicide hotline for LGBT individuals is: