Beauty of a soft pedal daughter ignored (6)
I believe the answer is:
appeal
'beauty' is the definition.
(appeal is a kind of beauty)
'a soft pedal daughter ignored' is the wordplay.
'soft' becomes 'p' (musical abbreviation for 'piano').
'daughter' becomes 'd'.
'ignored' indicates named letters should be taken away.
'pedal' with 'd' removed is 'peal'.
'a'+'p'+'peal'='APPEAL'
'of' acts as a link.
(Other definitions for appeal that I've seen before include "fetching" , "Attraction - legal process" , "Beg" , "Take case to higher court to challenge verdict" , "Earnest or urgent request" .)