The fellow presenting the following video does a good job, I think, of explaining the spiritual significance of the head covering. Although I think it may go a little deeper, or further, than he discusses, he gives a good basic explanation.
He also gives an explanation of verse 10 (because of the angels) that I had not considered before. You will have to watch the entire video to get this explanation. I am not saying I hereby discard my explanation, as explained in the last post, nor do I discard his. It might very well be both explanations. So, without further ado, here is the video: