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