Telling The Guardian:
"I think it's for women to make a choice about what clothes they wish to wear, if they wish to wear a veil that is for a woman to make a choice."
"There will be some circumstances in which it's right for public bodies, for example at the border, at airport security, to say there is a practical necessity for asking somebody to remove a veil."
The problem with May's statement is two fold. First, you cannot first endorse a religious choice that allows women to chose to cover up and then use legal tactics such as border security to forcefully remove these veils.
Second, and rather unrelated to May's argument is that this is a larger problem than the British governments desire to allow women to make this choice. Islamic law dictates a women must wear a full veil at all times in public and in many countries, breaking this law is punishable by death. This fear stays with these women no matter what country they live in and is forced upon them under the guise of religious doctrine.
The larger issue at stake here is a women's right in an Islamic religion. In any Islamic country with Sharia Law you are dealing with women's rights being almost non-existent. So while May is worried about women's choices in Britain, she should be more concerned with women's rights around the world.