tearoom vs teashop

tearoom and teashop both are nouns.

Word	Noun	Adjective	Verb	Adverb
tearoom	Yes	No	No	No
teashop	Yes	No	No	No

As nouns, tearoom and teashop are synonyms defined as:

tearoom and teashop: a restaurant where tea and light meals are available

Other synonyms of tearoom include tea parlor, tea parlour, teahouse.

tearoom (noun)	teashop (noun)
a restaurant where tea and light meals are available	a restaurant where tea and light meals are available