food market vs market

food market and market both are nouns.

Word	Noun	Adjective	Verb	Adverb
food market	Yes	No	No	No
market	Yes	No	Yes	No

As nouns, food market and market are synonyms defined as:

Other synonyms of food market include grocery, grocery store.

As nouns, market is a hypernym of food market; that is, market is a word with a broader meaning than food market:

Other hypernyms of food market include market place, marketplace, mart.

food market (noun)	market (noun)
a marketplace where groceries are sold	the world of commercial activity where goods and services are bought and sold
	a marketplace where groceries are sold
	an area in a town where a public mercantile establishment is set up
	the customers for a particular product or service
	the securities markets in the aggregate

food market (verb)	market (verb)
	make commercial
	engage in the commercial promotion, sale, or distribution of
	deal in a market
	buy household supplies