1 Corinthians 11 : 4 Every man praying or prophesying, having his head covered, dishonoureth his head. 5 But every woman that prayeth or prophesieth with her head uncovered dishonoureth her head: for that is even all one as if she were shaven.

Paul is simply saying here that it is disgrace to to have a hat or anything on head when you are praying. This is also saying that a man should not pray in public with his hat on because we know that the head of man is Christ and when he is praying or prophesying then it should be obvious that Christ is his head and show proper respect. This next scripture Paul is saying wherever and whenever women do pray and proclaims the Word appropriately then they must do so maintaining a proper distinction from men. In the culture of Corinth, a woman’s covered head while ministering or worshiping was a symbol to signify a subordinate relationship to her husband. Paul is saying here there is nothing spiritual about wearing or not wearing a covering and that there is no absolute law for women to wear veils or coverings in all churches for all time, but is declaring that the symbols of the divinely established male and female roles are to be genuinely honored in every culture even today.