Eve, overcome by deceit, was in the transgression.
Yes, she was; so was Adam.
So Adam’s creation is a testimony for God's order that the man should lead.
No it isn't.
If God had said "the moral of this is that when I create my church in a few thousand years time, women must never lead", that would be different. But he didn't.
God made Eve as a helper for Adam, women's subordination holding good even before the Fall.
Where does "helper" mean "subordination"?
The Holy Spirit is our helper - is he subordinate to us?
Besides, God said, "it is not good for man to be alone" - all the animals were in pairs - and created woman. He did not say, "it is not good for the man to do all the work alone; he needs someone to boss about."
The woman should be dependent on the man.
Should?
So what about women who never marry; nuns etc? Are they worthless because they do not have a man, or helpless for the same reason?
So her status shouldn't be that of a leader in the Church.
That doesn't follow at all.
Adam's story shows that there was no temptation and fall as long as he was alone.
He was given the command not to eat the fruit of the tree before woman was even created.
If she didn't know what God had said, Adam should have told her.
As soon, however, as Eve was present, Satan attacked. She was overcome by Satan. She fell into the trap set by him
Why do you think the serpent addressed her and said "DID God say .....?"
Most likely because Eve had not heard the command from God for herself, had had to rely on Adam to tell her and may have either not been listening, or didn't ask him to explain. When she repeated God's words to the serpent, she got them wrong.
Because she didn't KNOW, the serpent was able to plant doubt in her mind. He didn't ask, "Did God say ......?" to Adam, because Adam had heard God's voice for himself, and knew perfectly well what God had said.
and then persuaded Adam to join her in the sin.
As Adam had heard God's voice fr himself and knew full well what his creator had commanded, why did he not correct her, reprimand her and then refuse to eat?
The woman's subordination is shown, a fact which excludes her from being a church leader.
Really?
Why did God then appoint Deborah as judge over the whole nation?
Why did he allow Deborah and Huldah to be prophetesses; giving God's word to men? In Huldah's case, the male priests could have consulted a male prophet to give them a word from God. They didn't, they chose to consult a woman.
Why did Jesus choose to tell the woman at the well that he was the Messiah and allow her to go back to her town to tell the men the Good News?
Why did Jesus choose a woman to be the first witness to the resurrection, and give the Good News, and a message, to the men who were hiding in fear?
Why did Paul have co-workers who were women, and allow Phoebe, a deacon, to take his letter to the church at Rome?
Even if we take what you said at face value - a woman could be a curate and under the authority of a male vicar, or a vicar and under the authority of a male bishop.