Woman to resign, sadly, as performer (5,6)
I believe the answer is:
carol singer
'performer' is the definition.
I don't know anything about this answer so I cannot tell whether this works.
'woman to resign sadly' is the wordplay.
'woman' becomes 'carol' (woman's name).
'to' is a charade indicator (letters next to each other).
'sadly' indicates an anagram.
'resign' with letters rearranged gives 'singer'.
'carol'+'singer'='CAROL-SINGER'
'as' acts as a link.
Can you help me to learn more?
(Another definition for carol singer that I've seen is " Christmas entertainer".)