Thank you for this work! It is community contributors like yourself who make our hobby great.
https://en.wikipedia.org/wiki/Monastery
I will not attempt to replicate the entire Wikipedia entry, but would recommend reading it to get a better background understanding of the origins, history, and various manifestations of monasteries throughout our history.
It traditionally is unlikely that a monastery would be co-ed. Even 150 years after the big blow up, it is more likely that the traditional focus of one sex/gender per institution. Were this in a game I was playing, finding a co-ed monastery would "ruffle my jimmies" and break immersion, UNLESS you come up with a very compelling reason for this break.
Also I would encourage you as a creator/PD/GM to come up with WHY this monastery exists.
- WHO founded it? This creates the backstory of the saint/abbey/abbess founder.
- WHY was it founded? Traditionally monasteries have meaning that is political/religious/economic/historic and in keeping with their surroundings. They often became locally powerful and important to the economic life of their environs.
- WHEN was it founded? Is this a remnant of pre-war? Is this recent? This gives depth to your expression of it in game. Which also aids immersion for your players.
- HOW was it founded? There may be a cool back story here, sacred artifacts, holy writings, collective survival/defence that became established compound.
Just the act of thinking through these things will help make this a better product overall.
Good luck!