The Role of a Man in the Bible

[Legendary]

"But I would have you know, that the head [i.e., authority (Jdg. 11:10; Eph. 1:22)] of every man is Christ; and the head of the woman is the man; and the head of Christ is God [Therefore, no inferiority is implied in submissiveness, only different God-ordained roles.]. Every man praying or prophesying with his head covered, disgraceth his head. But every woman praying or prophesying with her head not covered, disgraceth her head: for it is all one as if she were shaven. For if a woman be not covered, let her be shorn. But if it be a shame to a woman to be shorn or made bald, let her cover her head. The man indeed ought not to cover his head, because he is the image and glory of God; but the woman is the glory of the man. For the man is not of the woman, but the woman of the man. For the man was not created for the woman, but the woman for the man. Therefore ought the woman to have a power over her head, because of the angels." (1 Corinthians 11: 3-10)

So I understand that many people follow this. But how does this apply to other couples outside the heterosexual category. Does this mean that other types of relationships are wrong? I was thinking about this because when having a discussion with my mother about homosexuality and this that surround it this topic came up. I didnt know now to explain this.