In the New York Times, feminist Elinor Burkett writes What Makes a Woman?:
For me and many women, feminist and otherwise, one of the difficult parts of witnessing and wanting to rally behind the movement for transgender rights is the language that a growing number of trans individuals insist on, the notions of femininity that they’re articulating….
Many transwomen and transmen embrace psychological distinctions between men and women that some feminist claim are purely cultural and represent patriarchal oppression. I believe there are, speaking generally, innate psychological tendencies between (most) men and (most) women that these feminist reject, although there are also exceptions, which may be more likely (although not exclusively) to be seen among gay men and lesbians (and even here, to be sure, not all gay men are more feminine than straight men, and some are hypermasculine leathermen; likewise, there are “lipstick” and “butch” lesbians), so it gets messy.
More. Like Caitlyn Jenner, women are far more likely than men to prefer frilly underwear. That’s not meant to be flippant; the fact that Jenner appeared on the cover of Vanity Fair in sexy lingerie was one of the transgressions, so to speak, that provoked Burkett’s column. To claim that women don’t generally prefer stereotypically feminine underwear, or if they do to claim it’s because of cultural norms imposed by the patriarchy, is, I think, silly.
That said, despite the general trend, some women don’t prefer frilly underwear and some men do.