Thanks, Dr. Clark
(Some jazzy music and introduction you have for the program!)
Basically, this is how I understand the teaching of Scripture, as you carefully evaluate it in the broadcast- that God has specifically qualified male leadership in the visible church and home. That does not generally apply outside of those spheres.
Now, an outworking of that though would be men, ordinarily leading in many other spheres. There are other scriptures that would support that, even from the priority in creation (e.g. Genesis earning a living by the sweat of one's brow).
So, from that, one could expect that a society dominated by women in business, in heavy industry, at hard labor was a reflection of disobedience. A reflection of general disobedience.
But there would be many exceptions to that and no particular bar to a woman, particularly at certain points in life being in business and having authority, teaching in schools and universities and having authority, and in politics.