All passages in the Bible that call for submission to any authority are qualified by not having to compromise our conscience . If anyone in authority, government, husband, officer, pastor, acts contrary to God's laws, then we are obliged to disobey. This is the root of civil disobedience and it is a primary biblical teaching. Secondly, as Martin Luther says so well, we need to distinguish the issue of persons from that of office. Paul's word of order in the family has to do with the different office of husband and has nothing to do with less dignity or worth of the person of the wife.
Modern critics are too quick to assume any ranking of authority implies a lower worth.
Thirdly, we must know that the deeper message of the gospel is that the old divisions and rankings of people before God are gone. Nevertheless, rights are not to be asserted but to be relinquished for the sake of the family and for the sake of witness to the world. So also in the family. Women have the right to stand independent, but for the sake of the wholeness and order of the family they are called yield to the lead of a Christian husband. Fourthly, the place of women in the ancient world when this was written was atrocious.