apathy vs feeling

apathy and feeling both are nouns.

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

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

apathy (noun)	feeling (noun)
the trait of lacking enthusiasm for or interest in things generally	the experiencing of affective and emotional states
an absence of emotion or enthusiasm	an intuitive understanding of something
	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