Met to compose a song (5)

I believe the answer is:

motet

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'a song' is the definition.
Both the definition and answer are singular nouns.
Maybe you can see a link between them that I can't see?

'met to compose' is the wordplay.
'compose' indicates an anagram.
'met'+'to'='metto'
'metto' anagrammed gives 'MOTET'.

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(Other definitions for motet that I've seen before include "musical piece" , "10 [COMPOSITION]" , "Piece for choir" , "Word; fixed period" , "Church composition - totem (anag)" .)

I've seen this clue in The Mirror.

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