messiness vs disorder

messiness and disorder both are nouns.

Word	Noun	Adjective	Verb	Adverb
messiness	Yes	No	No	No
disorder	Yes	No	Yes	No

As nouns, disorder is a hypernym of messiness; that is, disorder is a word with a broader meaning than messiness:

Other hypernyms of messiness include disorderliness.

messiness (noun)	disorder (noun)
the trait of being untidy and messy	a disturbance of the peace or of public order
a state of confusion and disorderliness	a condition in which things are not in their expected places
	a physical condition in which there is a disturbance of normal functioning

messiness (verb)	disorder (verb)
	bring disorder to
	disturb in mind or make uneasy or cause to be worried or alarmed