Crossword Genius

More hurt by composer’s catchy intro fading (5)

Ross

I believe the answer is:

sorer

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

'composer's catchy intro fading' is the definition.
I can't tell whether this definition defines the answer.

'more hurt' is the wordplay.
I cannot quite understand how this works, but
'hurt' could be 'sore' (I've seen this before) and 'sore' is found in the answer.
A single letter 'r' remains which might be clued in a way I don't understand.
This explanation may well be incorrect...

'by' is the link.

Can you help me to learn more?

(Other definitions for sorer that I've seen before include "Comparatively vexed" , "more upset" , "more resentful" , "More painful or vexed" .)

I've seen this clue in the Sydney Morning Herald.
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