I doubt that Nature says that only males are allowed to enter. Unless you are a hermit and live in solitude (which is not the case on Athos) you still have to

I doubt that Nature says that only males are allowed to enter. Unless you are a hermit and live in solitude (which is not the case on Athos) you still have to answer to the community members and obey the community rules which very are often made to favour specific members of the community.