Many try to argue that the authority structure between men and women only happened after the Fall but was completely done away with in Christ. Both assumptions are completely false. In Wayne Grudem’s book Systematic Theology, he clearly explains the authority structure before the Fall. I will summarized them.

Adam was created first, then Eve. The reasons for women being silent in the church even goes back to this fact in 1 Timothy 2:13.

Eve was created as Adam’s help meet. God designed a helper suitable for Adam. This clearly shows an authority structure.

Adam named Eve. As Adam gave names to all of the animals, He named Eve too (Genesis 2:23).

God named the human race “man,” not “woman” (Genesis 5:2). This suggests a leadership role belonging to the man.

The serpent came to Eve first. Satan distorts everything that God created and called good. “Satan was trying to undermine the pattern of male leadership that God had established in the marriage by going first to the woman.”

God spoke to Adam first after the Fall (Genesis 3:9). He was the one God held accountable for their sin.

Adam, not Eve, represented the human race. Death was passed down to all of us due to Adam’s sin, not Eve’s (1 Corinthians 15:22).

The curse brought a distortion of previous roles, not the introduction of new roles. “Adam still would have the primary responsibility for tilling the ground and raising crops, but the ground would bring forth ‘thorns and thistles’ and in the sweat of his face he would eat bread (Genesis 3:18,19). Similarly, Eve would still have the responsibility of bearing children, but to do so would become painful (Genesis 3:16).

Redemption in Christ reaffirms the creation order. “New Testament commands concerning marriage do not perpetuate any elements of the curse of any sinful behavior patterns; they rather reaffirm the order and distinction of roles that were there from the beginning of God’s good creation.”

Wives, submit yourselves unto your own husbands, as unto the Lord. For the husband is the head of the wife, even as Christ is the head of the church: and he is the saviour of the body. Therefore as the church is subject unto Christ, so let the wives be to their own husbands in every thing.
Ephesians 5:22-24