I only do one playthrough and will deal with the consequences when they come.

(Or just change them with the mod.

)
My main run has been a "play the field" run:
"Madame", in a sexual context, is generally the term for the owner of a brothel. The Pink Rose might not be a brothel, but it's the closest thing to it in this game, and the way they spoke about Tania didn't sound like she's the owner of the Pink Rose.
This woman, however, could be the owner of the Pink Rose and I suspect we'll meet her when we do the cleaning job.