She will have to keep her head covered the entire time she is there...I think even including indoors when in the company of anyone but her husband...IF she is wearing it to follow Orthodox tradition.
I watched Srugim on Amazon. Covered head is a big deal. I think wig will work too.
Here is some more information RummyChick :)
https://en.wikipedia.org/wiki/Tzniut
http://www.myjewishlearning.com/article/hair-coverings-for-married-women/
When in Rome....