Perhaps because the woman was taken from man God made woman bear children so nether could bost over the other? I truly do wish to seek the truth on this subject .
I tend to see that people are making too big of an issue over it and then harming each other by trying to force them into (or out of) various roles based on gender vs. the unique gifts that God has given each one of us.
God didn't want humans to be alone, so made another human companion for the first human, who may have been male from the start or may not have had a gender at all at the time because "Adam" can be translated simply as "humankind". God also wanted humans to reproduce, so he may have chosen for humans to just self-reproduce, but again, he didn't want humans to be alone, so making a companion *and* making it so that both were necessary for reproduction would have ensured that humans would have each other for companionship.
One of the two would need to be able to physically produce the child, so would receive physical characteristics to allow that person do it. Both would receive physical characteristics to coincide with each other to make the baby in the first place.
So we have two different physical types of people who can produce children when they come together.
Outside of that purpose, there really isn't anything spiritually distinct between them due to gender. The gifts God gives us are per individual person rather than by gender, or we would see results such as ALL women are more nurturing and ALL men are capable warriors. We see proof around us everyday that not one single person falls into an ALL pattern and that God made us all unique and there truly is no Jew or Gentile, male or female, master or slave in Christ Jesus.
Also, back in Paul's time, the reputation of a man's entire household reflects on him and his status within their society. They are his "glory" so to speak. It's an example Paul's readers would be able to easily understand and thus hopefully through such an example, gain a better understanding of Christ and how he relates to us. Paul may have used a different example in our time for the same message, so that we could better understand the message. Paul seems to be very considerate of his audience in the examples he chooses.