A few quick remarks.
I have known many people working under leadership that in terms of IQ was inferior to the employee. Leadership is related more to personality than IQ.
Many women have held position of power both inside and outside of the Church. Having said this let me say that the percentage of such women is far lower that I think it should be.
Personality seems to be the overriding factor in determinations of leadership.
The fact that most of the wealth of the world is owned by women seems to indicate that they refuse to accept leadership even when they could easily accept it.
Because the status quo is as it is, can we then infer that things are as they should be with men leading and women following. Generally.
As an aside, I did see something about the infallibility of the Pope. I hope this was a joke. Man is always fallible.
Regards
DL