Messengers receive messages from and deliver messages to someone. A woman is to have authority over her head because of the messengers. This separates the weaker vessel from the messengers. The man speaks for the family. If Sarah had not been communicating with the messengers, they wouldn't have been able to send word back of her beauty.
Men often take far too lightly the job of protector.
The Corinthians must have done so too. But if any man seem contentious, we have no such custom, neither the churches of God. Paul just forbid any contention from the women in the church by informing them that they are not even supposed to speak. We continually keep coming back to the issue of position, not clothing. Let the woman learn in silence with all subjection.