God of wildfowl oddly missing (4)
I believe the answer is:
idol
'god' is the definition.
(I know that god can be written as idol)
'wildfowl oddly missing' is the wordplay.
'oddly missing' indicates alternate letters (letters in odd-numbered positions removed).
The alternating letters of 'wildfowl' are 'IDOL'.
'of' acts as a link.
(Other definitions for idol that I've seen before include "Worshipped statue" , "Sacred image" , "Pin-up" , "Object of excessive love or devotion" , "Something worshipped" .)