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