'non-patriarchally' originates from English, specifically formed from the prefix 'non-' and the adjective 'patriarchal', where the prefix 'non-' meant 'not' and 'patriarchal' is derived from 'patriarch' (from Greek roots).

'patriarch' comes from Greek 'patriarchēs' (πατριάρχης) meaning 'chief of a family' → Latin and Ecclesiastical Latin 'patriarcha' → Old French/Medieval Latin forms → English 'patriarch' → adjective 'patriarchal' → prefixed form 'non-patriarchal' → adverbial form 'non-patriarchally'.

Initially, related forms referred specifically to the head or chief of a family; over time 'patriarchal' broadened to mean 'male-dominated social systems' and 'non-patriarchally' has come to mean 'in ways that reject or do not follow patriarchal structures'.