Unless it's a church/other religious place/school/youth group/family/private workplace/prison/gender segregated space/adult only place, everyone should theoretically be allowed everywhere.
However this doesn't mean every action/belief should be welcome everywhere or people can't be unwelcome due to their behaviours/beliefs.
If an NT adult chooses to go somewhere where they're the odd one out esp if they have more power in general society, it's inappropriate for them to start dictating things to people. To start dishing out respectability politics. To dictate the actions, thoughts and beliefs of those inside that space.
If they don't like that? Get out. Not every behaviour, not every belief, is welcome everywhere.
Even in public spaces, there are certain rules. Private spaces have more.
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Not actually a girl
He/him