gag order vs court order

gag order and court order both are nouns.

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

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

gag order: a court order restricting information or comment by the participants involved in a lawsuit
court order: a writ issued by a court of law requiring a person to do something or to refrain from doing something

gag order (noun)	court order (noun)
a court order restricting information or comment by the participants involved in a lawsuit	a writ issued by a court of law requiring a person to do something or to refrain from doing something