tobacconist vs tobacco shop

tobacconist and tobacco shop both are nouns.

Word	Noun	Adjective	Verb	Adverb
tobacconist	Yes	No	No	No
tobacco shop	Yes	No	No	No

As nouns, tobacconist and tobacco shop are synonyms defined as:

tobacconist and tobacco shop: a shop that sells pipes and pipe tobacco and cigars and cigarettes

Other synonyms of tobacconist include tobacconist shop.

tobacconist (noun)	tobacco shop (noun)
a shop that sells pipes and pipe tobacco and cigars and cigarettes	a shop that sells pipes and pipe tobacco and cigars and cigarettes
a retail dealer in tobacco and tobacco-related articles