Together, they were truly a perfect pair. There was no hostility or jealousy as to which role each ought to fulfill. It is worth noting that in his humiliation Christ emphasized his role of obedience to the heavenly Father. All of creation is subject to God's order and appointment, though Adam and Eve's original order was without sin and hence Adam's authority would have been of an unimaginably kind and benign character. Of course, Adam sinned also.
Sinful authority is always onerous to some extent.
Even the best kings of the Hebrews showed this. But human authority in many spheres is necessary and, in fact, mandated by Scripture. The basic created order was not forfeited at the Fall, only corrupted. In addition to the created order, Paul gives a second reason why the woman must not usurp authority in the church. Eve was the first to grasp at sin.