Xena true. The nun in the Western world chooses to become one, and then chooses to wear the nun outfit.
However, I'd disagree with a Muslim women, doesn't have the choices, because in many societies women do choose not to cover up, in fact many have different interpretation of the Qura'n, which resulted in different variation of how women dress up in the Arab world or outside the Arab world.

The opposite of the argument, that women have to cover up here, can we say that showing much skin in the west sometimes defines the women "beauty". See, in my pov it can go both ways. In the end, men makes the rules, women play by these rules.