mood vs feeling

mood and feeling both are nouns.

Word	Noun	Adjective	Verb	Adverb
mood	Yes	No	No	No
feeling	Yes	No	No	No

As nouns, feeling is a hypernym of mood; that is, feeling is a word with a broader meaning than mood:

mood (noun)	feeling (noun)
a characteristic (habitual or relatively temporary) state of feeling	the experiencing of affective and emotional states
verb inflections that express how the action or state is conceived by the speaker	an intuitive understanding of something
the prevailing psychological state	a physical sensation that you experience
	the sensation produced by pressure receptors in the skin
	a vague idea in which some confidence is placed
	the general atmosphere of a place or situation and the effect that it has on people