Daughter's private meal (6)

I believe the answer is:

dinner

'meal' is the definition.
(dinner is a kind of meal)

'daughter's private' is the wordplay.
'daughter' becomes 'd'.
'private' becomes 'inner' (I've seen this before).
'd'+'inner'='DINNER'

(Other definitions for dinner that I've seen before include "Supper" , "Main meal of day" , "grub" , "Eat it in the strange red inn" , "serving in 20 [MESS] ?" .)

I've seen this clue in The Telegraph.

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