push aside vs reject

push aside is not a noun while reject is a noun.

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

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

push aside (noun)	reject (noun)
	the person or thing that is rejected or set aside as inferior in quality

push aside (verb)	reject (verb)
bar from attention or consideration	not accept something given or offered
push out of the way	dismiss from consideration or a contest
	deem wrong or inappropriate
	reject with contempt
	not accept as true
	refuse entrance or membership
	resist immunologically the introduction of some foreign tissue or organ