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Gramota.ru offers only бусурман / басурман. No бу(а)сурманин.


Are you kidding?

The plural is бусурмане, and the singular is бусурман, not бусурманин.


This word is not so much offensive, and depending on context, it could be even a joke.
But if you want, you can tell him,...

It's a dative plural from бусурман / басурман - stranger, foreigner, usually who is not christian (most likely muslim). The word is almost abusive, but since it's old-fashioned, it could sound...