cold-shoulder vs brush aside

cold-shoulder and brush aside both are verbs.

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

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

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

cold-shoulder (verb)	brush aside (verb)
pay no attention to, disrespect	bar from attention or consideration