cream cleanser vs cleanser

cream cleanser and cleanser both are nouns.

Word	Noun	Adjective	Verb	Adverb
cream cleanser	Yes	No	No	No
cleanser	Yes	No	No	No

As nouns, cleanser is a hypernym of cream cleanser; that is, cleanser is a word with a broader meaning than cream cleanser:

cream cleanser: A skin cleanser that comes in a thick liquid form, similar in texture to a lotion.
cleanser: a preparation used in cleaning something

Other hypernyms of cream cleanser include cleaner, cleansing agent, cosmetic.

cream cleanser (noun)	cleanser (noun)
A skin cleanser that comes in a thick liquid form, similar in texture to a lotion.	a preparation used in cleaning something