'non-Amorite' is formed from the negative prefix 'non-' (from Latin 'non', meaning 'not') prefixed to 'Amorite', the name for the ancient people known as the Amorites.

'Amorite' ultimately comes from Akkadian 'Amurru' (and the related West Semitic/Hebrew forms such as ʿĒmōrī), which entered classical languages and later English as 'Amorite'; the element 'non-' was later compounded in English to mark negation.

Originally 'Amorite' designated inhabitants of the region or members of the Amorite people; the compound 'non-Amorite' has simply applied the negating 'non-' to indicate 'not an Amorite' with no major semantic shift beyond negation.