1Co 11:13 Judge in yourselves: is it comely that a woman pray unto God uncovered? 14 Doth not even nature itself teach you, that, if a man have long hair, it is a shame unto him? 15 But if a woman have long hair, it is a glory to her: for her hair is given her for a covering.
Our covering is defined by nature around us and who sustains all nature around us. It is the Word of God that sustains all life and that Word of God put on flesh and it is through Him that our sins are covered before the Father as long as we have it in our hearts to remain faithful to the Word of God that put on flesh to cover our sins.
There is also another place that Paul speaks of the believing woman being the covering for the unbelieving husband, so one must be sure not to take Paul out of context.
1Co 7:14 For the unbelieving husband is sanctified by the wife, and the unbelieving wife is sanctified by the husband: else were your children unclean; but now are they holy.
So our covering is the same as that of nature no matter the sex, male or female, because as long as the believing stays under Messiah's covering, then God still has the ability to work His work in bringing the unbelieving one into belief.
Judaism and many other religions have twisted the Word of God to their own destruction by putting burdens on the children of God where God put no such burdens such head coverings and no cooking on the Sabbath. NO WHERE in Scripture will one find such commands as these. Even certain ancient Jewish rabbis agree there are no such commands from God in regards to head coverings as well no cooking on the Sabbath. These were the true priests of God and the kind that left Pharisaic legalism, such as Paul did, to walk in Spirit and Truth.
So other scriptures provide light in properly interpreting and understanding. Taking "the whole counsel of God” as in Acts 20:27, is necessary?