court order vs writ

court order and writ both are nouns.

Word	Noun	Adjective	Verb	Adverb
court order	Yes	No	No	No
writ	Yes	No	No	No

As nouns, writ is a hypernym of court order; that is, writ is a word with a broader meaning than court order:

court order: a writ issued by a court of law requiring a person to do something or to refrain from doing something
writ: (law) a legal document issued by a court or judicial officer

Other hypernyms of court order include judicial writ.

court order (noun)	writ (noun)
a writ issued by a court of law requiring a person to do something or to refrain from doing something	(law) a legal document issued by a court or judicial officer