Those who oppose the egalitarian feminist heresy are often accused of believing that every woman should submit to every man. This is a straw man. God has established many authorities we submit to each day and one of them is not that every woman submit to every man. The very idea is preposterous and that's why feminists trot it out. Take traffic on city streets, for instance: add to the rules of the road that every other car is now required to submit to the vehicle on its right and imagine the traffic jams!
Which is to say this is a bogus problem deceptively trotted out by those looking to make God's Order of Creation look so monstrous that every woman despairs and becomes a rebel and every man is embarrassed and becomes a gelding.
But to say there is no authority-subordinate relationship between every man and every woman is not to say there's no universal standard of relationship between men and women. In other words, the relationship between man and woman is never asexual.
Every man made in the image of God is either a man or a woman; and every man or woman testifies to his sexual nature in every contact with a member of the opposite sex--either by faithfully confessing the Order of Creation or by rebelling against it. In fact, this distinction God blessed us with is so basic--so fundamental and foundational--that we never stop testifying to our faithfulness or rebellion...
A woman relating to a man should relate to him in a way that is... womanly just as a man relating to a woman should relate to her in a way that is manly.
Normally we call such sex-specific behavior either "masculine" or "feminine." And until recently, we had words we used to describe behavior that failed to honor our own sexuality. We should keep our eye on the ball and, for Christians, this means watching the words that are being killed. Two stand out in this regard--'brash' and 'effeminate.'
Women who want to be feminine and fathers who want to raise feminine daughters will understand that brash is bad. Similarly men who want to be masculine and mothers who want to raise masculine sons will understand effeminacy is bad.
Teach your daughters the nature of feminine deference and your sons the nature of masculine responsibility and leadership.
Rebekah and Job are good examples to start with:
Rebekah lifted up her eyes, and when she saw Isaac she dismounted from the camel. She said to the servant, “Who is that man walking in the field to meet us?” And the servant said, “He is my master.” Then she took her veil and covered herself. (Genesis 24:64, 65)
I was eyes to the blind and feet to the lame. I was a father to the needy, and I investigated the case which I did not know. I broke the jaws of the wicked and snatched the prey from his teeth. (Job 29:15-17)