Hmm. I have to say I think perhaps you are approaching this the wrong way. Almost in the same way some people go looking for a romantic partner with a 'shopping list'? While of course there are some things that are non-negotiable, I think the 'list' you are drawing up is going to exclude many excellent therapists who you could do great work with.

I don't see the harm in educating a therapist about your world. I'm queer (anthrosexual, masochistic, polyamorous) and while of course I don't actually know for sure what my therapist's orientations are, I have only heard her speak of male partners so I think she's straight. It doesn't matter that we have radically different lifestyles and needs. As two human beings, we click well, and as such I never feel weird or misunderstood talking about the choices I make or the preferences that are hardwired into me.

I love labels as a shorthand for immediately understanding that I have something in common with another person, but I think it's really important to not get bogged down in the labels, and not to afford them maximum importance. So, you could think on being open to a therapist who doesn't market themselves as queer.

I'm rambling, but basically what I mean is, find the therapist who is the human being that fits you, and the rest will fall into place. I really do believe that.