is there such a thing as a transgendered gay person?

You sound like Trump. No doubt a supporter. What will you say next?
Fake news!! Who is assaulting them?? Are you serious? High levels of violence towards LGBT is a thing dude. If you're not even aware of that I'm not going to explain that to you. You can research that without me. Suicide rates are also much higher. Some countries are still executing LGBT.
Brunei just announced this week that they are going to stone to death gay people. As far as I know transgender people go through many psychological tests before transitioning. Particularly younger people. No one would choose on a whim to live through the extreme difficulty of the life that comes along with being transgender in a world full of ignorance and hate in the same way that no-one would choose to be gay.
You obviously don't even know any transgender people. If you did you wouldn't be sitting at home on your computer broadcasting such a load of misinformed crap about something you know nothing about.