I believe that any woman who prays without her head covered & looks up is disgraceful to God & any man who wears ANY kind of head covering & looks down while praying is disgraceful to God. I also believe that this is what Paul is stating in 1 Corinthians 11:1-16.
4 Every man who prays or prophesies with his head covered dishonors his head. 5 And every woman who prays or prophesies with her head uncovered dishonors her head, for it is just as if her head were shaved. 6 If a woman does not cover her head, she should have her hair cut off. And if it is shameful for a woman to have her hair cut or shaved off, she should cover her head.
7 A man ought not to cover his head, since he is the image and glory of God; but the woman is the glory of man. 8 For man did not come from woman, but woman from man. 9 Neither was man created for woman, but woman for man. 10 For this reason a woman ought to have a sign of authority on her head, because of the angels.
11 In the Lord, however, woman is not independent of man, nor is man independent of woman. 12 For just as woman came from man, so also man is born of woman. But everything comes from God.
13 Judge for yourselves: Is it proper for a woman to pray to God with her head uncovered? 14 Doesn’t nature itself teach you that if a man has long hair, it is a disgrace to him, 15 but that if a woman has long hair, it is her glory? For long hair is given to her as a covering. 16 If anyone is inclined to dispute this, we have no other practice, nor do the churches of God.
Am I wrong in my way of thinking?