pudding-face vs countenance

pudding-face and countenance both are nouns.

Word	Noun	Adjective	Verb	Adverb
pudding-face	Yes	No	No	No
countenance	Yes	No	Yes	No

As nouns, countenance is a hypernym of pudding-face; that is, countenance is a word with a broader meaning than pudding-face:

pudding-face: a large fat human face
countenance: the human face (`kisser' and `smiler' and `mug' are informal terms for `face' and `phiz' is British)

Other hypernyms of pudding-face include kisser, mug, phiz, physiognomy, smiler, visage.

pudding-face (noun)	countenance (noun)
a large fat human face	the appearance conveyed by a person's face
	the human face (`kisser' and `smiler' and `mug' are informal terms for `face' and `phiz' is British)
	formal and explicit approval

pudding-face (verb)	countenance (verb)
	consent to, give permission; permit