self-rule vs autonomy

self-rule and autonomy both are nouns.

Word	Noun	Adjective	Verb	Adverb
self-rule	Yes	No	No	No
autonomy	Yes	No	No	No

As nouns, autonomy is a hypernym of self-rule; that is, autonomy is a word with a broader meaning than self-rule:

self-rule: government of a political unit by its own people
autonomy: immunity from arbitrary exercise of authority: political independence

Other hypernyms of self-rule include liberty.

self-rule (noun)	autonomy (noun)
government of a political unit by its own people	immunity from arbitrary exercise of authority: political independence
	personal independence