Radiator provided by a hotelier (3,6)

I believe the answer is:

oil heater

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'radiator' is the definition.
The definition and answer can be both man-made objects as well as being singular nouns.
Perhaps there's a link between them I don't understand?

'by a hotelier' is the wordplay.
'a hotelier' anagrams to 'OIL HEATER'.
However, I am not sure how the anagram is indicated.

'provided' is the link.

Can you help me to learn more?

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

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