turning away vs rejection

turning away and rejection both are nouns.

Word	Noun	Adjective	Verb	Adverb
turning away	Yes	No	No	No
rejection	Yes	No	No	No

As nouns, rejection is a hypernym of turning away; that is, rejection is a word with a broader meaning than turning away:

turning away: deliberately avoiding; keeping away from or preventing from happening
rejection: the act of rejecting something

turning away (noun)	rejection (noun)
deliberately avoiding; keeping away from or preventing from happening	the act of rejecting something
	the speech act of rejecting
	(medicine) an immunological response that refuses to accept substances or organisms that are recognized as foreign
	the state of being rejected