push aside vs dismiss

push aside and dismiss both are verbs.

Word	Noun	Adjective	Verb	Adverb
push aside	No	No	Yes	No
dismiss	No	No	Yes	No

As verbs, push aside and dismiss are synonyms defined as:

Other synonyms of push aside include brush aside, brush off, discount, disregard, ignore.

push aside (verb)	dismiss (verb)
bar from attention or consideration	declare void
push out of the way	bar from attention or consideration
	end one's encounter with somebody by causing or permitting the person to leave
	cease to consider; put out of judicial consideration
	terminate the employment of; discharge from an office or position
	stop associating with