According to Wikipedia she was a notorious cross dresser and that’s why she wore such a hat. Not because it was feminine.
That’s also why the feminists wore it, because it’s not feminine.
Further, it completely change after prince whomever of England starting wearing it. When men who wanted to look like men were the only ones wearing it.
So it was never really begged isha, and it totally changed from even being a shemetz of begged isha long before it became popular by yidden.
So it is disingenuous to call it begged isha besides being silly.