On a Revive Our Hearts podcast entitled "Don't Waste Your Womanhood", John Piper defines headship and submission as follows:
“Headship is the divine calling of a husband to take primary responsibility for Christ-like servant-leadership, protection and provision in the home.”About marriage, he goes on to say,
“Submission is the diving calling of a wife to honor and affirm her husband’s leadership and help carry it through according to her gifts."
“If you could embrace this truth that as married women…this magnificent truth that your true womanhood ultimately means that your distinctive role in marriage is meant to magnify the glory of God’s grace, supremely expressed in the covenant keeping love between Christ and his church, you would have a compass with which to navigate hundreds of questions and you have a lifetime to ferret them out.On singleness (please don't skip this if you are married - it is just good!)
It’s not a small thing to believe that true womanhood is meant to display the glory of God’s grace in the sacrifice of God’s Son in the purchase and purification of his bride who then lives her everlasting life in exquisite joy in his presence, standing in awe of him, and reverencing him and honoring him.”
These are three things that your womanly singleness can say better to the world than any married woman can say by virtue of her marriage.
1) A life of Christ-exalting singleness bears witness that the family of God grows by regeneration through faith not propagation through sexual intercourse. The family of God grows by regeneration not by propagation, by faith, not sexual intercourse. The main thing we're about is growing that family. So if you never marry, and you embrace a lifetime of chastity and biological childlessness, and you receive this from the Lord's hand as a mercy and a gift with contentment, and you gather to yourself the poor and the lonely, and you spend yourself for the gospel without self-pity; you will, in your unique single womanhood, magnify Christ in ways no married woman can.
2) A life of Christ-exalting singleness bears witness that relationships in Christ are more permanent and more precious than relationships in families. If a single woman turns without bitterness and regret from the absence of her own family and gives herself to creating God's family in the church, she will find a flowering for her womanhood in ways never dreamed of, and Christ will be uniquely honored.
3) The Christ-exalting singleness of a woman bears witness to the truth that marriage is temporary and finally gives way in the end to the relationship to which it was pointing all along, Christ and the Church, the way a picture is no longer needed when you're face to face.