Crossword Genius

Furious with a girl playing song unaccompanied (8)

Ross

I believe the answer is:

madrigal

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

'song unaccompanied' is the definition.
I can't judge whether this definition defines the answer.

'furious with a girl playing' is the wordplay.
'furious' becomes 'mad' (I've seen this in other clues).
'with' indicates putting letters inside.
'playing' indicates an anagram.
'girl' anagrammed gives 'rigl'.
'a' inserted within 'rigl' is 'rigal'.
'mad'+'rigal'='MADRIGAL'

Can you help me to learn more?

(Other definitions for madrigal that I've seen before include "Unaccompanied song in several parts" , "Drag Liam around to hear an unaccompanied song" , "Part song for unaccompanied voices" , "Elaborate part song" , "Part-song" .)

I've seen this clue in The Times.
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