There's... literally no such thing as Muslims
monks.
If they were monks, they would be Buddhist, as the orange clothing would describe.
What an..interesting assumption in the title.
Edit:
Hindu monks:
Buddhist monks:
Both are prohibited from interacting with women and there's been stories that have made global news about Hindu monks taking issue with sitting next to women on planes. Their outfits also match the woman's description. Monasticism is also, y'know, literally prohibited in Islam.
But I guess to some people all brown people are the same and all brown folks are Muslim. Hmm.