[...] unless either of you is bothered about that, why worry about what assumptions people make?
I am not! But the original poster might be.
If you're worried about rumours, though, I'd have thought a gay partner would be ideal?
Specific answers depend on the rumors you're willing to live with: Are you willing to live with rumors that you're married and not looking when you
are looking? That you're chasing skirts when you
aren't looking? That you're gay when you're straight? That you're straight when you're gay? That whatever your marital status and sexual orientation, you're looking for more than a dance partner?
I'm comfortable with people having weird ideas about me up to the point where they think I'm looking for "horizontal tandas" with anyone – straight, gay, married, or not. I'm not looking for that. My girlfriend, while not a possessive person, is a
sensitive person who trusts me but finds it takes too much out of her to deal with gossip. She's also in a conservative profession where rumors of being with a skirt-chasing man would affect her career. So . . . I manage that.
Thus, I can see the point to preemptively managing a dance relationship by filtering for people with whom being associated would not be an issue if an observer with a wild imagination starts to assume things and spread gossip. I totally agree that we shouldn't
have to do that in 2023! However, we don't control how the more judgmental or conservative people around us react, and they tend to be living in 1953 or even 1923.