Having taken wine in church, rector's bursting (7)
I believe the answer is:
chocker
'bursting' is the definition.
(from chock-a-block, meaning busy or bursting)
'having taken wine in church rector's' is the wordplay.
'having taken' means one lot of letters goes inside another.
'wine in' becomes 'hock' (hock is a kind of wine. I am not sure about the 'in' bit.).
'church' becomes 'CE' (abbreviation for Church of England).
'rector' becomes 'r'.
'hock' inserted into 'ce' is 'chocke'.
'chocke'+'r'='CHOCKER'
(Other definitions for chocker that I've seen before include "Disgusted (with something)" , "Packed" , "full" .)