But I want you to know that the head of every man is Christ, the head of woman is man, and the head of Christ is God. (1 Cor 11:3 NKJV)
Let's look at some of the facts about man, as found in Genesis 1 and 2:
Headship was established in the Garden of Eden. It is not a result of the Fall. However, due to sin, men now "naturally" struggle to lead while women struggle to submit.
Adam was to start his own household and to be the head of his wife. Nowadays, men could lead their wives in love and in wisdom, while women could humbly and in meekness follow their husbands' guidance. But, you see, that day, when Eve took of the forbidden fruit, she decided to go her own way. And Adam listened to her and followed her lead instead of obeying God's command.
Now, because of our fallen nature, leading and submitting have turned into something unpleasant, something we want to deny and escape. Men either do not want to rule their own households, or, if they do, they do so in a more or less selfish and abusive way. Women, on the other side, do not want to be told what to do and often take over the lead to rule over their husbands.
If she submits, will she not admit that she is worth less (than her husband)?
Think of different roles: Whenever men of different ranks are sent to war, are the lives of the men with the lowest rank worth less than the ones who have achieved higher ranks? Of course not!
Think of different ages: Is a twenty-year-old mother of less value than the one who is in her forties? Of course not!
Think of different sexes: Is a 4-year-old girl worthless compared to a 4-year-old boy? Of course not!
We, the women, have not been made to be trampled upon by men, nor have we been made to rule over them.
I love what Matthew Henry says in his commentary:
That the woman was made of a rib out of the side of Adam; not made out of his head to rule over him, nor out of his feet to be trampled upon by him, but out of his side to be equal with him, under his arm to be protected, and near his heart to be beloved.