The term 'bonze' is mostly used to refer to Buddhist priests in Japan and not commonly elsewhere. While visiting Kyoto, I had a chance to talk with a bonze about Zen Buddhism.
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Cultural Respect
'Bonze' is a respectful term for a religious figure; use it with the same reverence as 'priest' or 'monk'. We were greeted by the bonze at the entrance of the ancient temple.
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Ceremonial Context
A bonze often leads or participates in traditional ceremonies, so mention them in such contexts. I witnessed a bonze performing a serene tea ceremony.