tea parlor vs eatery

tea parlor and eatery both are nouns.

Word	Noun	Adjective	Verb	Adverb
tea parlor	Yes	No	No	No
eatery	Yes	No	No	No

As nouns, eatery is a hypernym of tea parlor; that is, eatery is a word with a broader meaning than tea parlor:

Other hypernyms of tea parlor include eating house, eating place, restaurant.

tea parlor (noun)	eatery (noun)
a restaurant where tea and light meals are available	a building where people go to eat