(2 Cor 3:5-6): Not that we are adequate in ourselves to consider anything as coming from ourselves, but our adequacy is from God,who also made us adequate as servants of a new covenant, not of the letter but of the Spirit; for the letter kills, but the Spirit gives life.
This thread seems to be an example of the letter of the law 'killing'. I have some more responses but first let me go through Paul's arguments against women in authority:
1. Adam was made first and women was made from adam;
2. Adam was not deceived, Eve was;
3. It is in accordance with the Law.
Deborah of Judges 4 was the prophet and judge of Israel (chosen by God) some 2,000+ years earlier. She held court and is explicitly described conveying God's commands to men. This turns those 3 points on their head.
If you claim that the Bible says women can't have authority over men and that settles it, you are saying Deborah didn't have authority over men -- the Bible says she did. Furthermore you are using scripture to say God can't do it again. God can do what God wants to do.
I agree there is a push of worldly ethics to have equal representation of women leaders, and this is not from God. But neither is the push of religious ethics to say women can never be given authority over man by God. So I hold that while God established men to lead in general, he makes exceptions to keep us in balance, and thank God for that -- because it means He is leading us instead of our own traditions and interpretations leading us.