search vs intrude

search is a noun but intrude is not a noun.

Word	Noun	Adjective	Verb	Adverb
search	Yes	No	Yes	No
intrude	No	No	Yes	No

As verbs, intrude is a hyponym of search; that is, intrude is a word with a more specific, narrower meaning than search:

Other hyponyms of search include hunt, cruise, prospect, horn in, nose, poke, pry.

search (noun)	intrude (noun)
the activity of looking thoroughly in order to find something or someone
boarding and inspecting a ship on the high seas
an investigation seeking answers
the examination of alternative hypotheses
an operation that determines whether one or more of a set of items has a specified property

search (verb)	intrude (verb)
inquire into	thrust oneself in as if by force
try to locate or discover, or try to establish the existence of	enter uninvited
subject to a search	search or inquire in a meddlesome way
search or seek	enter unlawfully on someone's property