It s quite possible to have a 'clerical class' composed of both males and females.

The essence of  'cleric' is that it sets up a professional 'class' system requiring life-long, full-time commitment. So celibacy gets to be a requirement.

True, at present only males are permitted  entry into that 'clerical' status. Even if females were allowed, they would still be 'clerics' and acquire a 'clerical' mind-set.

'Hierarchy' is something different - there will always be a 'hierarchy' of various 'jobs' and functions. In the early Church the believers were in the same 'class' level - all 'disciples' of Jesus. Even being chosen as an 'apostle' was a step up in 'hierarchy' but did not create a 'class system' where they considered themselves 'ontologically superior'.

When 'hierarchy' gets restricted to full-time, professional, life-long dedicated ''clerics' it sets up a division between 'cleric' people and 'lay' -non-cleric - people.

Even 'feminine genius' would likely succumb to clericalism