Actually, I suspect Sawyer didn't have much choice in the matter. I'm sure she wasn't "made" to wear it...but I'm equally sure it wasn't "pretty please with sugar on top, respect our customs when you're here?" It was probably "We require, by Islamic law, women be covered. If you don't respect Islamic law...no story," and Sawyer chose the story and the scarf.
And the head scarf isn't intended as something demeaning...not originally, at least. It's original intent was...well, rather complicated, actually. Too much so for this crowd, now that I think of it.