The manga is literally called "the role of the femme-fatale" are we sure "villainess" isn't supposed to be translated as "femme fatale"? Especially since "Villainess" is a generic evil person whereas "femme fatale" is specifically associated with seduction, which is the only angle I can see as to why she was given the role because of her questionnaire answer.
I know that villainess yuri has become something of a genre in recent times, and it's one that I quite enjoy myself, but I don't think the term should be misused just to be fit into the genre if that's why it was done.