deputy sheriff vs law officer

deputy sheriff and law officer both are nouns.

Word	Noun	Adjective	Verb	Adverb
deputy sheriff	Yes	No	No	No
law officer	Yes	No	No	No

As nouns, law officer is a hypernym of deputy sheriff; that is, law officer is a word with a broader meaning than deputy sheriff:

deputy sheriff: someone authorized to exercise the powers of sheriff in emergencies
law officer: an officer of the law

Other hypernyms of deputy sheriff include lawman, peace officer.

deputy sheriff (noun)	law officer (noun)
someone authorized to exercise the powers of sheriff in emergencies	an officer of the law