1 Cor 11:2-3
I praise you for remembering me in everything and for holding to the traditions just as I passed them on to you. 3 But I want you to realize that the head of every man is Christ, and the head of the woman is man,[a] and the head of Christ is God.
It sounds as if you are trying to use this text as it is typically used - in a sense of an overbearing "authentein" over womankind in general.
Paul is here in 1 Cor. 11:2-3 referring to the ORIGIN of things.
The "head of every man is Christ" is meant in the sense that
Christ was the creative source of all things, as in Hebrews 1:2. "...hath in these last days spoken unto us by his Son, whom he hath appointed heir of all things, by whom also he made the worlds..." And in Colossians 1:16, concerning Christ the "image of the invisible God", Paul said, "For by him were all things created, that are in heaven, and that are in earth, visible and invisible, whether they be thrones, or dominions, or principalities, or powers:
all things were created by him, and for him: And he is before all things, and by him all things consist. And HE IS THE HEAD OF THE BODY, THE CHURCH, who is the beginning, the firstborn from the dead, that in all things he might have the preeminence."
Christ became the "chief cornerstone", upon which we as "living stones" are being built up into a holy temple in the Lord. There would be no church if Christ had not originated it and became its source.
When Paul said that "the head of the woman is man", he was speaking of
Adam being the origin of the body of the woman which was made from a rib as Adam's own flesh and bone. This did not give Adam superiority over a woman's status before God, since they were both given equal dominion over the planet and its creatures by God in Genesis 1:28, and both told to subdue it.
When Paul wrote that "the head of Christ is God", he was speaking in the same sense that Christ spoke in John 16:27-28 of where Christ had come from. "For the Father himself loveth you, because ye have loved me, and have believed that "I CAME OUT FROM GOD. I CAME FORTH FROM THE FATHER, and am come into the world..." The incarnate body of Christ by which the Word was made flesh originated from God.
Paul also wrote in 1 Cor. 11:12 that in the same way that womankind originated from man (because Eve was made of Adam's flesh and bone), in the same way
the man also was of the woman, but all things were from God. It took God bypassing the seed of Adam, the man, (whose disobedience brought representative death upon all mankind) to bring about the salvation of all mankind by the "Seed of the
woman", who did not carry the representation of death that Adam as a male did. By the means of Christ being the "Seed of the
woman", salvation was made possible for all the elect. Aside from the fact that every male who come into this world does so by coming out of the body of a woman.
But all things of God, who gets the praise for the origin of all things to begin with.