Strong feeling follows dad's first relegation (8)
I believe the answer is:
demotion
'relegation' is the definition.
(I've seen this before)
'strong feeling follows dad's first' is the wordplay.
'strong feeling' becomes 'emotion' (I've seen this in another clue).
'follows' is a charade indicator (letters next to each other).
'dad's first' becomes 'd' (1st letter of 'dad').
'emotion' put after 'd' is 'DEMOTION'.
(Other definitions for demotion that I've seen before include "being relegated" , "reduction in status" , "put down" , "The putting down" , "Forced loss of rank" .)