2 3 In a marriage relationship, there is authority from Christ to husband, and from husband to wife. The authority of Christ is the authority of God. 4 Any man who speaks with God or about God in a way that shows a lack of respect for the authority of Christ, dishonors Christ. 5 In the same way, a wife who speaks with God in a way that shows a lack of respect for the authority of her husband, dishonors her husband. 6 Worse, she dishonors herself - an ugly sight, like a woman with her head shaved. This is basically the origin of these customs we have of women wearing head coverings in worship, while men take their hats off. By these symbolic acts, 7 men and women, who far too often butt heads with each other, submit their "heads" to the Head: God.
Matthew Henry's Commentary on 1 Corinthians 11:2-7
Commentary on 1 Corinthians 11:2-16
(Read 1 Corinthians 11:2-16)
Here begin particulars respecting the public assemblies, 1 Corinthians 14. In the abundance of spiritual gifts bestowed on the Corinthians, some abuses had crept in; but as Christ did the will, and sought the honour of God, so the Christian should avow his subjection to Christ, doing his will and seeking his glory. We should, even in our dress and habit, avoid every thing that may dishonour Christ. The woman was made subject to man, because made for his help and comfort. And she should do nothing, in Christian assemblies, which looked like a claim of being equal. She ought to have "power," that is, a veil, on her head, because of the angels. Their presence should keep Christians from all that is wrong while in the worship of God. Nevertheless, the man and the woman were made for one another. They were to be mutual comforts and blessings, not one a slave, and the other a tyrant. God has so settled matters, both in the kingdom of providence and that of grace, that the authority and subjection of each party should be for mutual help and benefit. It was the common usage of the churches, for women to appear in public assemblies, and join in public worship, veiled; and it was right that they should do so. The Christian religion sanctions national customs wherever these are not against the great principles of truth and holiness; affected singularities receive no countenance from any thing in the Bible.