shrug off vs push aside

shrug off and push aside both are verbs.

Word	Noun	Adjective	Verb	Adverb
shrug off	No	No	Yes	No
push aside	No	No	Yes	No

As verbs, push aside is a hypernym of shrug off; that is, push aside is a word with a broader meaning than shrug off:

Other hypernyms of shrug off include brush aside, brush off, discount, dismiss, disregard, ignore.

shrug off (verb)	push aside (verb)
minimize the importance of, brush aside	bar from attention or consideration
	push out of the way