cold-shoulder vs push aside

cold-shoulder and push aside both are verbs.

Word	Noun	Adjective	Verb	Adverb
cold-shoulder	No	No	Yes	No
push aside	No	No	Yes	No

As verbs, push aside is a hypernym of cold-shoulder; that is, push aside is a word with a broader meaning than cold-shoulder:

Other hypernyms of cold-shoulder include brush aside, brush off, discount, dismiss, disregard, ignore.

cold-shoulder (verb)	push aside (verb)
pay no attention to, disrespect	bar from attention or consideration
	push out of the way