If a major city if France it would be no issue, in the Wild West it was the place to go to live ones own life its usually a matter of discretion just don't talk about it but some cultures the Indians would likely not care at all, they tended to consider Two-Gender people special which is good.
A real example in the Appalachians folks they are oddly very tolerant just be good folks and not cause issues most people will treat you well, my grand aunt and her lover were a couple openly in her community for decades so was no issue she was the local teacher and her "wife" was a doctor so they were important to.
I would say if she is not open about it most would not pry. She would be a woman who prefers to be unmarried and focus on her work not an Old Maid sort of woman. What she does in private, is private.