For Adam was first formed, then Eve.
Some people conclude that women are to be under male authority in all areas of life, not just in church meetings, since Paul appealed to Creation and the Fall. They believe that a man should not submit himself to female authority at all, even in the workplace. Personally I do not think this is what Paul meant. He cited God’s intention for male female relationships specifically in marriage, not in general social situations. Christian men and women should bring their proper relationship to one another in marriage over into church life and apply it in the household of faith (cf. 1 Timothy 3:15) as well as in the household of the family.