A person with homosexual inclinations, where they're kept under control, or, if yielded to are appropriately repented of, is eligible to do anything in the Church that can be done by any member of the Church who is single.
Dallin H. OaksThe commandment to avoid contention applies to those who are right as well as those who are wrong.
Dallin H. OaksPray that you will have good and correct attitudes about all your experiences - be they good or bad.
Dallin H. OaksWe urge persons with same-gender attractions to control those and to refrain from acting upon them, which is a sin, just as we urge persons with heterosexual attractions to refrain from acting upon them until they have the opportunity for a marriage recognized by God as well as by the law of the land. That is the way to happiness and eternal life.
Dallin H. Oaks