turn a blind eye vs push aside

turn a blind eye and push aside both are verbs.

Word	Noun	Adjective	Verb	Adverb
turn a blind eye	No	No	Yes	No
push aside	No	No	Yes	No

As verbs, push aside is a hypernym of turn a blind eye; that is, push aside is a word with a broader meaning than turn a blind eye:

Other hypernyms of turn a blind eye include brush aside, brush off, discount, dismiss, disregard, ignore.

turn a blind eye (verb)	push aside (verb)
refuse to acknowledge	bar from attention or consideration
	push out of the way