1Timothy 3:1 This is a true saying, If a man desire the office of a bishop, he desireth a good work.
1Timothy 3:2 A bishop then must be blameless, the husband of one wife, vigilant, sober, of good behaviour, given to hospitality, apt to teach;
That verse is inclusive in the sense that one of the requirements if a "man" desires the office of a bishop
he needs to be the husband of one wife, not many wives. It's like that of John 4:16-18 where Jesus told the woman at the well she had five husbands and the one she has now is not her husband.
In the case of Adam and Eve, yes she took of the fruit and gave Adam to eat of it, but Adam should had forbidden her to eat as he knew what God told him, but instead lost his Spiritual headship over the woman as he disobeyed God and did eat also of the fruit. This is the same in the ministry that if a man does not have the Spiritual headship then God will give it to a woman to oversee His ministry.