4Every man praying or prophesying, having his head covered, dishonoureth his head.
Meaning: Unsure yet. Maybe men aren't to cover heads with a hat , some Middle Eastern traditional garb when praying, or have long hair. It may even mean the man dishonors God, his "head"
5But every woman that prayeth or prophesieth with her head uncovered dishonoureth her head: for that is even all one as if she were shaven.
Meaning: Unsure yet. Maybe not wearing a scarf or traditional Middle Eastern garb over the head or have short hair. It may also mean she dishonors her husband or men, who are her "head".
6For if the woman be not covered, let her also be shorn: but if it be a shame for a woman to be shorn or shaven, let her be covered.
Meaning: Because if she is uncovered somehow in a way not yet sure of his meaning, she may as well be shaved bald, so cover up. Paul was an "all or nothing" type of guy evidently with little room in the middle for compromise.
7For a man indeed ought not to cover his head, forasmuch as he is the image and glory of God: but the woman is the glory of the man.
Meaning: Indeed, men should have their heads visible and not covered either with some kind of traditional Middle Eastern garb or with long hair
8For the man is not of the woman; but the woman of the man.
Meaning: Paul reflects the ignorance of his times. Men do come from women both in birth and genetically as a female template prior to birth which is why men have nipples. But let's skip a longer explanation here.
9Neither was the man created for the woman; but the woman for the man.
Meaning: Paul read this in the Genesis story and again with no knowledge of the reality of where human beings actually come from and how modern humans evolved
10For this cause ought the woman to have power on her head because of the angels.
Meaning: This is a bit tougher to discern what Paul meant but I'd say it means "Look...Angels look up to God and since women are a bit lower than men and angels, they should look up to their men as Lord, as long as they do well. Make sense?
11Nevertheless neither is the man without the woman, neither the woman without the man, in the Lord.
Meaning: But there is some equality between the two if both are in the church.
12For as the woman is of the man, even so is the man also by the woman; but all things of God.
Meaning: Yeah, that's it. I know I said women came from men and not men from women a bit earlier, in the big picture and especially in the church, God made us all somewhat equal
13Judge in yourselves: is it comely that a woman pray unto God uncovered?
Meaning: C'mon folks, see it my way. Ok, don't let me confuse you even though I just did. You decide if it is appropriate for a woman to pray unto God without a cover on her head or with short hair since my meaning is not yet clear.
14Doth not even nature itself teach you, that, if a man have long hair, it is a shame unto him?
Meaning: Um..actually no. What are you talking about?
Nature tells me what?
Nature tells me what"
Nature tells me what?
Um...sure. Real shamer
15But if a woman have long hair, it is a glory to her: for her hair is given her for a covering.
Meaning: Men like long haired women and nature makes that clear.
Female Lioness with long hair as we learn from nature.
16But if any man seem to be contentious, we have no such custom, neither the churches of God.
Meaning: But if you want to argue about it or don't see my point, then that's just the way it is in the Church and according to my commands. So , (and this is my opinion on whether it is covering or hair), no long haired men and we better see no bald or pixie cut women in the Church.