Rather annoying...
Firstly, there are many separate, unrelated issues and concerns being conjoined in the article. The first comments about Jenner, are transphobic, plain and simple. A cis-woman can say and do things that "set back women fifty years" but not have her status as a woman called into question because she said something stupid. That is just looking for something to latch onto as a means of delegitimizing transwomen. Jenner isn't the trans Pope, her stupid comments are her own.
Secondly, women don't have a universal experience of what it means to be a woman that is singularly reducible to vaginas, or periods, and that is just as stupid of a thing to say as fashion. Women can talk about those things, as women of colour (which sounds kind of like an icky term to me, but it seems to be flying around... so I'll partake), can talk about their unique experiences without announcing that the experience of being a woman is singularly reducible to those experiences.
In my view, and it seems obvious to me, that if a woman was cis, identified at birth as a female, but with a malformed vagina, or that never grew to menstruate wouldn't have their womanhood card revoked. Attempting to reduce women to a single quality, or experience that all women share, when ostensibly none exist, is nothing but an exclusionary tactic, founded upon prejudice, and bigotry.