A Woman Shouldn't Have Her Head Covered

In the first corinthians 11, Paul says that a man shouldn't have his head covering because he's the image and glory of god, but the woman is man's glory. So paul seems to be saying that any glory she has comes through the man,. And if you make those relationships simple, you run into the idea that just as apparently paul thinks that woman is under the headship of her husband, so christ is under the Headship of God. The third one is the question, which order of creation should we think about gender? The primordial, original creation as it was, or the order toward which creation is moving? For paul, primordial creation and