anxiety vs emotion

anxiety and emotion both are nouns.

Word	Noun	Adjective	Verb	Adverb
anxiety	Yes	No	No	No
emotion	Yes	No	No	No

As nouns, emotion is a hypernym of anxiety; that is, emotion is a word with a broader meaning than anxiety:

anxiety: a vague unpleasant emotion that is experienced in anticipation of some (usually ill-defined) misfortune
emotion: any strong feeling

anxiety (noun)	emotion (noun)
a vague unpleasant emotion that is experienced in anticipation of some (usually ill-defined) misfortune	any strong feeling
(psychiatry) a relatively permanent state of worry and nervousness occurring in a variety of mental disorders, usually accompanied by compulsive behavior or attacks of panic