ice-hockey rink vs ice rink

ice-hockey rink and ice rink both are nouns.

Word	Noun	Adjective	Verb	Adverb
ice-hockey rink	Yes	No	No	No
ice rink	Yes	No	No	No

As nouns, ice rink is a hypernym of ice-hockey rink; that is, ice rink is a word with a broader meaning than ice-hockey rink:

Other hypernyms of ice-hockey rink include ice-skating rink, ice.

ice-hockey rink (noun)	ice rink (noun)
an ice rink for playing ice hockey	a rink with a floor of ice for ice hockey or ice skating