trespass vs intrude

trespass is a noun but intrude is not a noun.

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

As verbs, trespass and intrude are synonyms defined as:

trespass (noun)	intrude (noun)
entry to another's property without right or permission
a wrongful interference with the possession of property (personal property as well as realty), or the action instituted to recover damages

trespass (verb)	intrude (verb)
pass beyond (limits or boundaries)	thrust oneself in as if by force
break the law	enter uninvited
enter unlawfully on someone's property	search or inquire in a meddlesome way
commit a sin; violate a law of God or a moral law	enter unlawfully on someone's property
make excessive use of