I think there IS a difference between agreeing to a directive to wear a headscarf during official meetings and/or public appearances, and freely choosing to wear a headscarf while in the private home of a family which holds religious beliefs requiring this.
You can be sure I wouldn’t let any Muslim woman wearing one of the face-covering get-ups into my home, especially if I had impressionable young daughters there. I don’t find the head coverings offensive (looks no different than traditional Catholic nuns’ garb) but I do find the face-coverings offensive and extremely harmful.
As an additional point, if I am invited to a home and they ask me to remove my shoes, I do, because my religion finds nothing offensive about not wearing shoes (although my host may find something offensive in ME not wearing shoes :-)
I actually don’t wear shoes in my own house either, but we don’t have a rule about it.