I currently have two female muslim language students staying: one wears a hijab but ordinary/western clothes (though covered up); the other wears the full kit - not a burkha but a full-length overdress (can't remember the name) and a white hijab, with one side loose, when she goes out.
The more 'relaxed' student goes out - in fact, all the time and is never here. The more religious student never goes out and seems frightened to go out - I'm not sure if this is because of her beliefs/conditioning or if she is eg agoraphobic: she is very nervy when we go out, she shuts down entirely, becoming 'invisible'.
Her dad came with her and stayed a month, seeing her every day numerous times - he was staying in a hotel minutes from her language school. He grilled the previous host on who would be coming to the house; that host knocked the stay on the head because of the father's tight control. Student came to me because the father was assured it is a female-only household.
Her father has gone home now but she won't go out on her own. Which means she is here the entire time and wants me to take her out and pick her up if she does go out and won't be back before 7pm. I'm not up for doing this. I've been a host to foreign students for over a decade and these girls are the first muslim foreign students I have hosted.
Would it be unreasonable to suggest she doesn't wear the dress when she goes out, as this draws attention to herself, whereas a hijab is commonplace and won't stand out too much? I don't live in an area where there are many strongly observant muslims - in fact, there are none (or there may be but they're indoors?)