Private meal missed by daughter (5)
I believe the answer is:
'private' is the definition.
(as in one's private or inner thoughts)
'meal missed by daughter' is the wordplay.
'meal' becomes 'dinner' (dinner is a kind of meal).
'missed by' is a deletion indicator.
'daughter' becomes 'd' (genealogical abbreviation).
'dinner' with 'd' taken out is 'INNER'.
(Other definitions for inner that I've seen before include "just missing the gold" , "Very private room" , "Situated inside" , "Part of the bull" , "Target next to the bull's-eye on a dart board" .)