Man is the Head of woman
1 Corinthians 11:3
"Now I want you to realize that the head of every man is Christ, and the head of woman is man, and the head of Christ is God."
Man is the Head of Woman. That's not going to change. That's the order in which God ordained it. God the Father is the Head. Then Christ is under Him. Man is under Christ. And woman is under man. This is the way in which God implemented it and that's the way in which God wants it.
As a man, you should realize you're the head of woman. You were given authority by God. Men have short hair. Women have long hair. The reason that God gives for this in His Word is that the man shouldn't cover his head, since he is the direct image and glory of God. A woman, however, should have long hair, as a sign of authority that she is under man. 1 Corinthians 11:7"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."
The bible instructs that a man can teach over a woman but a woman cannot teach over a man, since he is the head. 1 Timothy 2:12 "I do not permit a woman to teach or to have authority over a man; she must be silent." A woman cannot teach over a man. A woman also cannot preach in the assembly of the church. 1 Corinthians 14:34 " Women should remain silent in the churches. They are not allowed to speak, but must be in submission, as the Law says."
Also, realize that "man did not come from woman, but woman from man; neither was man created for woman; but woman for man.: (1 Corinthians 11:8-9). God created man first and only created woman to be his partner and helpmeet. God created Adam first and then from his ribs made Eve, since, "it is not good for man to be alone" (Genesis 2:18). So you see woman was created for man, and not man for woman.
So, as men, we have to take our leadership role which God has given us and really head over women.
I understand, this is an unpopular topic for women, but nevertheless, it's one that they must accept. They have to be willing to be very humble and submissive and submit to the man.