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.
14And it was not Adam who was deceived, but the woman who was deceived and fell into transgression.
You're referring to one of the pastoral epistles there. (those are 1st Timothy, 2nd Timothy and Titus).
Scholars have wondered at the authorship of 1st timothy for some time now. Is it really the Saint Apostle Paul that wrote them? The reason being if the churches under direction of the pastoral epistles were being led by Paul in said letters, why would Paul then contradict , for instance, the verse you've shared when in other epistles he praised women who were not silent in the churches? But rather were Shepherds, Deacons, and Prophetesses, which would mean they were not silent.
Furthermore, as pertains to Adam and Eve, as this has been discussed at length here, Adam was told directly by God not to eat of the forbidden tree. Adam was with Eve when the serpent tempted her and it was by Adam that sin entered the world. Therefore, it would not make any sense to claim a woman should remain silent in the church when it was the man Adam that disobeyed God after being told directly what he was to obey, and it was by that disobedience that we're told sin entered the world. The woman was not managed by the man , as was his duty according to those scriptures you cite, when Adam having direct knowledge from God that they were not to eat of that tree, did not stop Eve from doing so when her innocence was tempted by the serpent. And in fact, did eat of it when offered to by Eve.
Therefore, the excuse that man was not deceived can be true when we realize he couldn't truly be deceived but he could absolutely and did willfully disobey God. Whereas the woman was deceived because she would have through secondhand knowledge have been aware of the command not to eat due to Adam telling her of this. But since she did not yet possess the conscious awareness of what it means to be good or evil, obedient or disobedient, her temptation was , as the serpent well knew, a matter of naivety being seduced by a wiser one; the serpent. Whereas Adam, who had direct knowledge through God speaking to him and His commandment not to eat of that tree, had no excuse for disobeying God's directive and eating what Eve innocently offered him. Not knowing the full consequence.
And further, when Eve, who ate first , did not die, it could be that Adam then ate because he didn't understand the meaning of death as God forewarned should he transgress the command and eat of the tree of knowledge.
In any event, Paul praised women who were in service to the Gospel in his many epistles. Therefore it is to be a curiosity as to why it would at least appear Paul is contradicting himself in the pastoral epistle of 1st Timothy chapter 3.
And this can also be at issue because as a Pharisee first, Paul would have known the Genesis story of Adam and Eve very well. Therefore, he would have known the greater part that Adam played over that innocent transgression of innocent naive Eve. Making that epistle not to make sense given his knowledge. (And the aforementioned praises Paul gave to women in ministry in those churches he founded).