1 Corinthians 11:2 NET I praise you because you remember me in everything and maintain the traditions just as I passed them on to you.
Traditions are a views arrived at as a result of rejecting false views.
1 Corinthians 11:3 NET
But I want you to know that Christ is the head of every man, and the man is the head of a woman, and God is the head of Christ.
The head here signifies a leader, a king, a protector. Israel done bad asking for a king.
1 Corinthians 11:4-6 NET
Any man who prays or prophesies with his head covered disgraces his head. But any woman who prays or prophesies with her head uncovered disgraces her head, for it is one and the same thing as having a shaved head. For if a woman will not cover her head, she should cut off her hair. But if it is disgraceful for a woman to have her hair cut off or her head shaved, she should cover her head.
Praying or prophesying publicly is a dangerous task, equivalent to laying down one's life, picking up one's cross, work done by Jesus between His baptism and His atoning work.. When one uses any of these terms, they serve as metonymy, synechdoche. If someone talks about a 9/11 category event, all circumstances included in that event immediately come to mind. Compare this event with Christ's ministry:
Acts 7:53-60 NET You received the law by decrees given by angels, but you did not obey it.” When they heard these things, they became furious and ground their teeth at him. But Stephen, full of the Holy Spirit, looked intently toward heaven and saw the glory of God, and Jesus standing at the right hand of God. “Look!” he said. “I see the heavens opened, and the Son of Man standing at the right hand of God!” But they covered their ears, shouting out with a loud voice, and rushed at him with one intent. When they had driven him out of the city, they began to stone him, and the witnesses laid their cloaks at the feet of a young man named Saul. They continued to stone Stephen while he prayed, “Lord Jesus, receive my spirit!” Then he fell to his knees and cried out with a loud voice, “Lord, do not hold this sin against them!” When he had said this, he died.
In the East, a woman shaves her head when she is widowed, signifying her loss of protection, possibly the need to fend for herself and make her own provisions for her personal safety.
A woman ministering in public should not be endangered. The work of a martyr is a man's job. Not that women are not brave enough, but the role is a picturization of Christ and His Church. Just as it would be a bit inappropriate to use potato crisps and CocaCola to do the ministry of picturising the lifegiving work of Christ as symbolised by the Communion sacrament, it would be inappropriate to let women be at the forefront of prophesy. Thus the headcovering: her identity is hidden. A bare headed prophetess is picturizing an unprotected Church:
Ephesians 5:25-27 NET Husbands, love your wives just as Christ loved the church and gave himself for her to sanctify her by cleansing her with the washing of the water by the word, so that he may present the church to himself as glorious – not having a stain or wrinkle, or any such blemish, but holy and blameless.
1 Corinthians 11 NET 7 For a man should not have his head covered, since he is the image and glory of God.
Men are the picturisation of God sacrificing Himself for His children
1 Corinthians 11 NET 8But the woman is the glory of the man.
Women represent the one whom men sacrifice themselves for. Sidebar: ask Korean men why they don't cook after marriage!
1 Corinthians 11:9-14 NET For man did not come from woman, but woman from man. Neither was man created for the sake of woman, but woman for man. For this reason a woman should have a symbol of authority on her head, because of the angels. In any case, in the Lord woman is not independent of man, nor is man independent of woman. For just as woman came from man, so man comes through woman. But all things come from God.
The final decider in order of things is the Creation order. Apparently there is an ordered taxonomy in heaven with regard to our guardian angels appropos their rank and orientation. Children's angels ALWAYS face God!
1 Corinthians 11:15 NET Judge for yourselves: Is it proper for a woman to pray to God with her head uncovered? Does not nature itself teach you that if a man has long hair, it is a disgrace for him, but if a woman has long hair, it is her glory? For her hair is given to her for a covering.
A man with long hair signifies a male who doesn't take sacrificing himself for his loved ones seriously. Spartans tied their hair up before war. Gladiators shaved their heads. Long hair is a serious handicap, and long haired combatants indicate either nonparticipation or over confidence. Not the signal you want to convey to your family. A woman with long hair conveys the message she is confident her protector is up to the task and she need not assist.