First there are the implications of the uncovered head. Paul states that the reason for this bareheadedness is that the Christian man must exhibit the "image-glory of God," which we have understood in the sense that he must identify with and imitate God, as ruler of the creation. This is no small responsibility for men. We are all familiar with the biblical teaching that men must obey and serve God. The Bible in many places calls God's people His servants, and the word usually translated "servants" really means slaves.
But even so, where Christian men are concerned, the biblical concept of our relationship to God is more perfectly expressed as one of sonship. And a son is not a slave; he both obeys and imitates his Father. The incongruity of this metaphor in relation to women is obvious enough. A woman should not be asked to think of herself as a son who must imitate the Father. But this is what Christian men are called to do. A manly soul is not content to obey, he goes beyond that and makes his royal Father's interests his own. He inherits the dominion.
There is therefore a certain emulation of God proper for men which is not characteristic of female piety. This stance, symbolized by the uncovered head, is going to have consequences for the way in which a man worships God and lives out his faith.
I just think that we need to undertand the theological underpinnings of this kind of Christianity.