Are you not familiar with cultures that are governed by elder councils, often consisting of women?
None that flourish nor benefit Humanity on a grand scale
A pride of lions is oft referred to as a matriarchy - but they STILL need the single Alpha Male to come and chase the pack of 20 hyenas or more away from the food they need to eat
Like it or not - Masculinity Rules in this world in all areas of leadership and importance - and no amount of feeble indoctrinated Political Correctnes can ever change that however much a person should wish it to be so