How does a Pastor shepherd the 1 who silently sits beside the 99 in the pews, who is in that small minority who is only attracted to and loves their own gender? That is how I understood the spirit of the OP. It is about conduct or actions, not about the names one calls this person. The more common answer among Bible-believers seems to be it is not a sin to be homosexual, but it is a sin to engage in homosexual acts. That prescribes an answer that seems to be based on the idea
every person has the gift of total abstinence, as Paul writes in 1 Cor. 7:7-9. If the conduct is sinful, doesn't that make the desire also sinful, as Jesus spoke about adultery in the heart? It is surely a difficult situation as it has been shown prayer or reparative therapy does not change who these people desire and love. The closest thing to an answer I've ever seen actually came from centuries ago.
"The second remedy against this device of Satan is, seriously to consider, That God hath nowhere engaged himself by any particular promise, that souls converted and united to Christ shall not fall again and again into the same sin after conversion. I cannot find in the whole book of God where he hath promised any such strength or power against this or that particular sin, as that the soul should be for ever, in this life, put out of a possibility of falling again and again into the same sins; and where God hath not a mouth to speak, I must not have a heart to believe. God will graciously pardon those sins to his people that he will not in this life effectually subdue in his people. I would go far to speak with that soul that can shew me a promise, that when our sorrow and grief hath been so great, or so much, for this or that sin, that then God will preserve us from ever falling into the same sin. The sight of such a promise would be as life from the dead to many a precious soul, who desires nothing more than to keep close to Christ, and fears nothing more than backsliding from Christ."
https://www.monergism.com/thethreshold/sdg/brooks/PreciousRemediesAgainstSatanThomasBrooks.pdf
Lutherans say every believer is saint & sinner and that seems inline with the Westminster Confession of Faith about 'Original Sin':
"This
corruption of nature, during this life, doth remain in those that are regenerated; (1 John 1:8, 10, Rom. 7:14, 17–18, 23, James 3:2, Prov. 20:9, Eccl. 7:20) and although it be, through Christ, pardoned, and mortified; yet both itself, and all the motions thereof, are truly and properly sin. (Rom. 7:5–8, 25, Gal. 5:17)"
"But he said, Nay; lest while ye gather up the tares, ye root up also the wheat with them." (Matt 13:29, KJV)
Is there a danger of doing exactly what Jesus warned about? Do we place this unfortunate individual in the same class as the fornicator in 1 Cor. 5:1-5? Paul goes on to list other sinners who should be put of the assembly as well, does the church do it?
"But now I am writing to you not to associate with anyone who bears the name of brother or sister who is sexually immoral or greedy, or is an idolater, reviler, drunkard, or robber. Do not even eat with such a one." (1Cor 5:11, NRSV)
Sadly the church is full of "revilers".
If the OT is to be as an example for the body of Christ, is there a risk of scattering God's flock:
"Woe to the shepherds who destroy and scatter the sheep of my pasture! says the LORD. Therefore thus says the LORD, the God of Israel, concerning the shepherds who shepherd my people: It is you who have scattered my flock, and have driven them away, and you have not attended to them. So I will attend to you for your evil doings, says the LORD." (Jer 23:1-2, NRSV)
Is it shepherding the 1 out of 100 to condemn them to a life of self-loathing, guilt, and shame that is destructive to life itself?