Are LGBT people only considered a minority if they are politically left leaning?

I am mainly asking because a few days ago I answered a question about bigots trying to defend their bigotry or something like that, and I used the bigots who were gloating when a lesbian artist lost her job as an example. And I ended up being told to go to hell, despite I was not being rude in my answer and just provided an example.

That lesbian is Terese Nielsen. Stopped getting jobs from WoTC for liking some tweets and following someone on twitter.

Another example would be Sophia Narwitz, a transwoman and gaming journalist who seems to have a lot of haters of the type who usually treats LGBT people as protected minority.

So, are LGBT people a minority? Are they somehow only a minority if they are left leaning, despite left leaning people seems to claim right leaning people are bigots?

Are LGBT people only considered a minority if they are politically left leaning?
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