John Chrysostom
Next the Apostle gives the reason, reasoning with his hearers as with free people, as I have often observed. What is the reason? "For a man indeed ought not to cover his head, since he is the image and glory of God" (1 Cor 11:7).
Again, this is the second reason. The man, he says, must not be covered not only because he has Christ as his head, but also because he has authority over the woman.
When one who has authority approaches the king, he must bear the sign of his authority. Therefore, just as no one who possesses authority would dare to appear before one wearing a diadem without a belt and clothing appropriate to his rank, so do not pray to God without the signs of your authority, that is, without a bare head.
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Otherwise you dishonor both yourself and the One who honored you. The same may be said of the woman: for her also it is dishonorable not to have the signs of her subordination.
"But the woman is the glory of the man." Therefore the man's authority over the woman is natural.