For full disclosure, I grew up in the Presbyterian Church and have held church offices in 2 of the 4 cities where I have lived. For various reasons, I have been unchurched for about 20 years.
The unfortunate truth is that many LGBT folks avoid being affiliated with various religious organizations is due to bad experiences. That’s sad because many have used their religious beliefs to discriminate against LGBT people. I think a key point for all of us to remember is that our problem is not with The Word, it is how The Word has erroneously been co-opted by some practitioners.