Accept inclusion of each cold bun (7)
I believe the answer is:
teacake
'bun' is the definition.
(type of bun)
'accept inclusion of each cold' is the wordplay.
I cannot really understand how this works, but
'each' could be 'ea' (abbreviation) and 'ea' is found within the answer.
'cold' could be 'c' (eg on taps) and 'c' is found in the answer.
'accept' could be 'take' (to accept is to take possession of) and 'take' is found within the leftover letters.
This accounts for all the letters.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for teacake that I've seen before include "(Afternoon) bun" , "crumbs from this?" , "Afternoon food?" , "Bun served toasted" , "Bun variety" .)