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. OaksIn order to ask with real intent or to act with full purpose of heart, we must always make an accompanying commitment.
Dallin H. OaksAs Elder George F. Richards, President of the Council of the Twelve, said in a conference address in April 1947, 'when we say anything bad about the leaders of the Church, whether true or false, we tend to impair their influence and their usefulness and are thus working against the Lord and his cause.' ... The Holy Ghost will not guide or confirm criticism of the Lord's anointed, or of Church leaders, local or general. This reality should be part of the spiritual evaluation that LDS readers and viewers apply to those things written about our history and those who made it.
Dallin H. OaksMy first fundamental premise of our faith is that God is real and so are eternal truths and values not provable by current scientific methods. These ideas are inevitably linked. Like other believers, we proclaim the existence of the ultimate lawgiver, God our Eternal Father, and the existence of moral absolutes. We reject the moral relativism that is becoming the unofficial creed of much of modern culture.
Dallin H. Oaks