This subject comes from (1 Corinthians 11:1-16) where the Apostle Paul had to order a secular custom into the church, the veiling of women, who had their hair shorn so that they looked like men. The converts under discussion, had come out of their pagan religion where the women were the more dominate. So, these women were to wear veils (as a covering) till their natural (covering) long hair appeared. This was an effort to try to bring the women back into their God given role...to be in subjection. (1 Cor. 11:1-16)
The men were to get their long hair (covering) shorn off, because they were still playing the role of the woman, thus dishonoring Christ. (1 Cor. 11:3,4)
The only natural (covering) for the man & woman in 1 Cor.11 is long hair. The ancient writings closest to the time of 1 Cor. 11 say that the word for (covering) means to 'hang down from the head' So, if at that time in the church at Corinth, Yaser Araffat would have been in trouble because he wears an unnatural (covering) called a Smagh. The high ranking Arabs wear the white with a black ring at the crown, unnatural covering, called a Shora.
The passage of 1 Cor.11:1-16 would only apply today if the women became the dominate sex outside the church, and then they were baptized into Christ and started behaving as the women of Corinth in the assemblies. Taking the lead positions.