Christ is man's head. It is therefore Christ who is dishonored if a man prays or prophesies with a covered head. It is therefore the man who is dishonored if a woman prays or prophesies with an uncovered head. This dishonor is the same as if her head were shaven. This reflected glory is based on the order of creation.
Angels are spirits.
Her long, uncut hair is a glory to her, for it illustrates her loving submission to her husband or father. On the other hand, it is a shame for a man if he allows his hair to grow uncut. The covering mentioned in this passage is the woman's uncut hair. Thus, if a woman cuts or shaves the hair on her head, it is in the eyes of God a shameful dishonor of her father or husband. If a man allows his hair to grow long, it is a shameful dishonor of Christ.