'Anglo-averse' is a modern compound formed from the combining form 'Anglo-' (referring to England, English, or Anglophone) and the adjective 'averse' (from Latin 'aversus'). 'Anglo-' ultimately relates to the Angles, and 'aversus' means 'turned away'.

'Anglo-' comes via Late Latin/Medieval Latin (e.g. 'Angli') and the Old English root 'Englisc' referring to the Angles/England; the combining form 'Anglo-' became productive in compounds in Modern English. 'Averse' is from Latin 'aversus' (past participle of 'avertere' 'to turn away'), passed into Middle English (averse) via Old French/Latin and retained the meaning of 'having a feeling of repugnance or opposition'. The compound 'Anglo-averse' is a recent (modern) nonce/derivative formation using these elements.

The elements kept their basic senses: 'Anglo-' continued to denote relation to England/Englishness, while 'averse' shifted from literal 'turned away' to figurative 'having aversion'; combined, the phrase now specifically denotes aversion toward English/Anglophone people, culture, or influence.