'muse-inspired' is a modern compound formed from 'muse' and the past-participle adjective 'inspired'. 'muse' ultimately originates from Greek, specifically the word 'mousa', where 'mousa' referred to a 'Muse' (a goddess of the arts). 'inspire' originates from Latin, specifically the verb 'inspirare', where the prefix 'in-' meant 'into' and 'spirare' meant 'to breathe'.

'muse' entered English via Latin and Old French (Latin 'musa', Old French 'muse') and came into Middle English as 'muse'. 'inspirare' passed into Old French and Late Latin forms and into Middle English as verbs like 'inspiren'/'inspire', with the past-participle 'inspired' developing as an adjective. The compound 'muse-inspired' is a modern English formation combining these elements.

Initially 'muse' referred specifically to the mythological 'Muse' (a source of artistic authority) and 'inspirare' literally meant 'to breathe into'. Over time these combined senses evolved into the current figurative sense of being 'stimulated' or 'imbued with creative influence', which is the meaning of 'muse-inspired' today.