'nonliturgically' originates from English, specifically a combination of the prefix 'non-' (from Latin 'non' meaning 'not') and the adverb 'liturgically' (from 'liturgical'). 'liturgical' ultimately comes from Greek 'leitourgia', where 'leitos' meant 'public' and 'ergon' meant 'work or service'.

'liturgy' came into English via Latin 'liturgia' (and Old French forms), ultimately from Greek 'leitourgia'. 'liturgical' developed from Medieval Latin forms and entered English as an adjective; 'liturgically' is the adverbial derivative, and modern English formed 'nonliturgically' by adding the negative prefix 'non-'.

Initially the Greek root meant 'public work/service', later narrowed to mean rites or public worship ('liturgy'); over time 'liturgical' came to mean 'relating to formal rites', and 'nonliturgically' now means 'in a manner not following formal liturgy'.