I know this issue about head covering has created a great confusion in the body of Christ. This is because of lack of spiritual understanding of the scriptures.
Now let us look into Apostle Paul's teaching in 1 Corinthians 11.
2 Now I praise you, brethren, that you remember me in all things and keep the traditions just as I delivered them to you. 3 But I want you to know that the head of every man is Christ, the head of woman is man, and the head of Christ is God. 4 Every man praying or prophesying, having his head covered, dishonours his head. 5 But every woman who prays or prophesies with her head uncovered dishonours her head, for that is one and the same as if her head were shaved. 6 For if a woman is not covered, let her also be shorn. But if it is shameful for a woman to be shorn or shaved, let her be covered. 7 For a man indeed ought not to cover his head, since he is the image and glory of God; but woman is the glory of man. 8 For man is not from woman, but woman from man. 9 Nor was man created for the woman, but woman for the man. 10 For this reason the woman ought to have a symbol of authority on her head, because of the angels. 11 Nevertheless, neither is man independent of woman, nor woman independent of man, in the Lord. 12 For as woman came from man, even so man also comes through woman; but all things are from God.
13 Judge among yourselves. Is it proper for a woman to pray to God with her head uncovered? 14 Does not even nature itself teach you that if a man has long hair, it is a dishonour to him? 15 But if a woman has long hair, it is a glory to her; for her hair is given to her for a covering. 16 But if anyone seems to be contentious, we have no such custom, nor do the churches of God. (1 Corinthians 11:1-16)
From the above scripture, Paul, the Apostle, was teaching about leadership and authority in the body of Christ. In Bible symbols or prophetic language, the head represents leadership OR authority.
For example, in Genesis 3:15, it was said that the seed of the woman (Jesus Christ), would bruise the head of the Serpent (Satan).
This means Jesus Christ would conquer Satan and take the authority from him. And this is exactly what He did. Listen to what He said to His disciples after His resurrection.
And Jesus came and spoke to them, saying, “All authority has been given to Me in heaven and on earth". (Matthew 28:18)
Therefore, when Paul said, the head of every man is Christ, the head of the woman is man, and the head of Christ is God, he was not referring to our natural head, what he meant was that the man holds authority over the woman. In other words, the woman submits to the man. The man also submits to Christ, and Christ holds authority over the man. Christ Himself also submits to the Father. This is the leadership structure he was teaching the Church.
Every man praying or prophesying, having his head covered, dishonours his head.
Why the man should not cover his head?
This is because his head is Christ, who is the image and the glory of God. He is our role Model. It is Christ we should see presented to the people and not the minister. It means the man serving in the body of Christ must present Christ and not himself to the people. Christ must be the centre of our ministry or else we covered Him. If the minister directs the people's attention to himself and not to God, he has covered his head (Christ). He is taking for himself the glory which belongs to God.
But every woman who prays or prophesies with her head uncovered dishonours her head
Why should the woman cover her head?
The head of the woman is man and man is not our Role Model for God's perfection. He can make many mistakes. Therefore, the man must be covered by the woman.
What is given to the woman to cover her head (the man)?
Apostle Paul answered this question in the same passage of scripture. Now let us listen to him in verses 13-15.
13 Judge among yourselves. Is it proper for a woman to pray to God with her head uncovered? 14 Does not even nature itself teach you that if a man has long hair, it is a dishonour to him? 15 But if a woman has long hair, it is a glory to her; for her hair is given to her for a covering.
Yes, a woman should cover her head, I agree, but the truth is, her head covering is not about a scarf or a piece of cloth, but it is about her long hair, representing her glory. Women should keep their hair on their heads. When they cut their hair low like men do, they have uncovered their heads. Her hair which represents her glory is meant to cover her head (her husband). For she is the glory of the man. That glory is display through her submission and respect for the man.
For if a woman is not covered, let her also be shorn. But if it is shameful for a woman to be shorn or shaved, let her be covered. (vs 6)
If a woman cut her hair low like a man, she should rather shave the whole hair and have a bald head. But if she finds it shameful to have a bald head, then she should keep her long hair on her head.
8 For man is not from woman, but woman from man. 9 Nor was man created for the woman, but woman for the man. 10 For this reason the woman ought to have a symbol of authority on her head, because of the angels.