skin disorder vs skin disease

skin disorder and skin disease both are nouns.

Word	Noun	Adjective	Verb	Adverb
skin disorder	Yes	No	No	No
skin disease	Yes	No	No	No

As nouns, skin disorder and skin disease are synonyms defined as:

Other synonyms of skin disorder include disease of the skin.

skin disorder (noun)	skin disease (noun)
a disease affecting the skin	a disease affecting the skin