A Muslim mother of two, who was detained at a Kentucky jail earlier this year, says she was forced to remove her hijab and underwent “an unnecessary full body strip search,” which was “filmed and projected” on a TV screen for men and women in the jail’s lobby to see, according to a lawsuit she has filed.
It’s called a habit.
The head thing specifically is a coif and veil and sometimes they wear a cornette which is the handmaid’s hat essentially.
https://en.m.wikipedia.org/wiki/Cornette
And then there’s Polish Cornette, or what I like to call “Paper Airplane Nuns.”
I mentioned it specifically because they make me giggle.