I am aware that many people who wear a head covering do so with the conviction that what they are doing is from a specific religious mandate. I know of Christian head coverers who believe that the head covering is a sign for Christian women only. Probably there are Jews and Muslims who feel similarly. Yet in none of the main three Abrahamic faiths, as they are referred to, can you find specific requirements for women to cover their heads - all are inferred from the context. As a Christian head coverer, I do believe that I should cover my head, as per 1 Corinthians 11. But it is not as clear a teaching as Jesus' commands to love one another, or to do good to our enemies. Jewish women cover by example of women in Torah scripture who did so. And Muslim women cover their breast with their hijab as specifically required, but cover their head by necessary inference of Quranic verse.
I still believe that covering a woman's head is a good, natural, feminine, modest, respectful and even "religious" thing to do. But we must make a distinction between doing what we feel is "right" and appropriate for us to do, and merely wearing some form of religious symbol without even knowing why, or just because it will mark us a different. If all faiths followed a more conservative and less worldly set of guidelines, we would all have modest head covering women, and we most certainly would not be marked as different by religious symbols on our heads. Unless they look different, of course. But even less specific than the inferences to cover our female heads is the description of the covering with which to do so. Well, except for Sikhs. But that's another story.
Here's the article that spurred these thoughts, from the Mauritius Times.