market vs food market

market and food market both are nouns.

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

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

Other synonyms of market include grocery, grocery store.

As nouns, food market is a hyponym of market; that is, food market is a word with a more specific, narrower meaning than market:

market (noun)	food market (noun)
the world of commercial activity where goods and services are bought and sold	a marketplace where groceries are 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

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