Crossword Genius

Where people may eat tea if care is taken (9)

Ross

I believe the answer is:

cafeteria

I'm a little stuck... Click here to teach me more about this clue!

'where people' is the definition.
Although both the answer and definition are singular nouns, I don't understand how one could define the other.

'eat tea if care is taken' is the wordplay.
'tea if care' anagrams to 'CAFETERIA'.
Though, I am not sure how this is indicated.

'may' is the link.

Can you help me to learn more?

(Other definitions for cafeteria that I've seen before include "place of refreshment" , "Where one scoffs" , "cheap restaurant" , "Canteen" , "Self-help facility" .)

I've seen this clue in The Globe and Mail.
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