1 Tim 2:
11A woman
a must learn in quietness and full submissiveness.
12I do not permit a woman to teach or exercise authority over a man;
b she is to remain quiet.
13For Adam was formed first, and then Eve. 14A
nd it was not Adam who was deceived, but the woman who was deceived and fell into transgression.
1 Cor 11:
3But I want you to understand that
the head of every man is Christ, and the head of the woman is man, and the head of Christ is God.
4Every man who prays or prophesies with his head covered dishonors his head.
5And every woman who prays or prophesies with her head uncovered dishonors her head, for it is just as if her head were shaved.
6If a woman does not cover her head, she should have her hair cut off. And if it is shameful for a woman to have her hair cut or shaved off, she should cover her head.
7A man ought not to cover his head, since he is the image and glory of God; but the woman is the glory of man. 8For man did not come from woman, but woman from man. 9Neither was man created for woman, but woman for man.
10For this reason a woman ought to have a sign of authority on
a her head, because of the angels.
Eph 5:
22Wives, submit to your husbands as to the Lord.
23For the husband is the head of the wife as Christ is the head of the church, His body, of which He is the Savior.
24Now as the church submits to Christ, so also wives should submit to their husbands in everything.
25Husbands, love your wives, just as Christ loved the church and gave Himself up for her
26to sanctify her, cleansing her by the washing with water through the word,
27and to present her to Himself as a glorious church, without stain or wrinkle or any such blemish, but holy and blameless.
28In the same way, husbands ought to love their wives as their own bodies. He who loves his wife loves himself.
29Indeed, no one ever hated his own body, but he nourishes and cherishes it, just as Christ does the church.
30For we are members of His body.
b
31“For this reason a man will leave his father and mother and be united to his wife, and the two will become one flesh.”c 32This mystery is profound, but I am speaking about Christ and the church.
Gen 2:
23And the man said:
“This is now bone of my bones
and flesh of my flesh;
she shall be called ‘woman,’
for out of man she was taken.”
24For this reason a man will leave his father and mother and be united to his wife, and they will become one flesh.
So, Paul uses Genesis/creation to argue the authority of the man over a woman/wife but you want to use St. Augustine and Cyril and culture to argue against scripture. You are not going to make it.
You have to use Genesis/creation also to show us why your argument is correct.