Here Paul is not establishing, but reiterating what has already been established by God and Jesus. I will in no wise cast out. For I came down from heaven, not to do my own will, but the will of him that sent me. Every man praying or prophesying, having his head covered, dishonoureth his head. It is NOT the same Greek word used in the rest of the passage.
Lets keep looking.
It would be a shame for a man to be under someone when he prays, especially in church. Lets keep looking. Few people like these verses. You can't discount them just because you don't like them. Whatever she says, her husband says for her.