'anosmatic' originates from Greek via New Latin, specifically from the Greek elements 'an-' and 'osme', where 'an-' meant 'without' and 'osme' meant 'smell'.

'anosmatic' developed from Greek 'an-' + 'osme' → New Latin/medical term 'anosmia' → English adjective formed as 'anosmatic' (relating to anosmia).

Initially it meant 'without smell' (literally lacking the sense of smell); over time it has retained that medical meaning of 'lacking the sense of smell' or 'relating to anosmia'.