as an old wrinklie [1 ft in the gravy!], I recall a similar controversy in the 1970's or thereabouts concerning the wearing of skull protecting helmets while riding motorbikes - the target ethnic dissenters being Sikhs who needed to wear turbans at all times.

Seems a compromise was reached by wearing a head covering which could comfortably fit under a helmet.

As has been mentioned above, the full face covering is a traditional fashion rather than a religious requirement & consequently as in the case of turbans v helments, a compromise could probably be negotiated,satisfactory to all involved parties.