An anti-microbial air processor is configured and arranged to fit at least substantially across an airway in a personal patient-warming apparatus to thereby inactivate airborne microbes before those airborne microbes are exposed to a patient via warming air delivered by the personal patient-warming apparatus. By one approach, the anti-microbial air processor comprises an anti-microbial air filter. By another approach, in lieu of the foregoing or in combination therewith, the anti-microbial air processor comprises one or more ultraviolet light sources configured to expose at least one inner surface of the personal patient-warming apparatus to ultraviolet light to thereby inactivate microbes.