I would agree that there are those rebellious women who do not submit to their husbands...
He [God] gave the command according to scripture because man was first created and then the woman (1Tim 2:13).
I get concerned about one thing above.
I think it's a pity to too quickly label a wife as a "rebellious wife". How sad. I've seen women divorce their husbands to pursue drinking and dancing. That's rebellious. That's sad and it's true they are rebellious. I'm so thankful my wife and I have a relationship of love and obedience to God mutually. But I'm concerned about a view that too quickly concludes there is rebellion. That can be an over-reaction, which is not good.
I once knew an elder in a church who used to go around saying this or that woman in the church was rebellious when they would disagree with him. He was a domineering sort of person. He used to be a bully in grade school and still needed more grace to overcome his character weaknesses. I ended up leaving that church and it was a good thing for my own growth. His rough edges were rubbing off on everyone.
It's just a yellow flag to be on the watch for.
On the second part of the quote above, ...
Why God commanded men to be responsible and accountable to lead is because they were created first, or because Eve took the fruit first, but why that would cause the need for them to lead I don't know since both Adam and Eve ultimately took the fruit. I just don't know the root cause of why God said it. My speculations are probably vain. But it seems we need to humbly obey it.
There have been so many abuses of the roles of authority over many years that our culture has reacted in the last several decades.
There should be a way to follow God's plan without going too far in one direction and forgetting to be humble. It's a real danger for men to lose site of mutual respect and humility and we need our wives to tell us objectively when we lose that humility and become prideful.
Finding that balance of love and harmony and respect with men and women is a good objective to pursue. It's like pursuing performing a beautiful symphony. And it seems that God is delighted when the music is harmonious.
Women view things different that men are clueless about and vice versa, until the other helps them understand. This forces a need for communication.
There are so many parallels between marriage and male/female relationships and our relationship with the Lord it's incredible and beautiful.
Some times my relationship with my wife really shows forth the beauty of the Lord. Other times when we get in a big disagreement and hurt each others feelings, it isn't so beautiful, but God is faithful to forgive, as we confess and forgive each other.
It seems like discussions on gender needs to consider some of these points above, and probably more, to see a vision for God's design.
Sorry, I got off track and shared personal understandings again, rather than Bible verses. So take it for whatever it's worth.