'non-priority' originates from the prefix 'non-' meaning 'not' and the word 'priority' from Latin 'prioritas', where 'prior' meant 'former' or 'superior'.

'prioritas' transformed into the Old French word 'priorité', and eventually became the modern English word 'priority'.

Initially, 'priority' meant 'precedence in time or order', but over time it evolved to mean 'something given special attention'.