1 Corinthians 11 : 6 For if the woman be not covered, let her also be shorn: but if it be a shame for a woman to be shorn or shaven, let her be covered. 7 For a man indeed ought not to cover his head, forasmuch as he is the image and glory of God: but the woman is the glory of the man.

We have to remember that these scriptures are talking of the customs they had in their time and it was customary for a woman to have a covering on her head. If she did not it in those days she might as well shave her head if is not going to cover it because of the shame it would bring.  The man on he other hand should not cover his head because it is man who bears the glory of God uniquely by his role. Men and women were both created in God’s image but man is given a sphere of sovereignty as the earthly sovereign over God’s created order. We know that these traditions which were mostly mans is not in effect today but we should respect the order that God put in place when it comes to the role of the man and the woman in society today.