IF you can tie in your gender/sexuality into your approach to literature, you might be able to make it work, but I wouldn’t make it the sole focus. I.e. ideas, possibly OK, interactions with people, not so much.
if your high school education has all been in the US/English language medium, you won’t have to take a TOEFL test, even if it’s not your first language; if you had only recently come to the US you would.