Afterwards to church, as a consequence (6)
I believe the answer is:
thence
'as a consequence' is the definition.
(I've seen this before)
'afterwards to church' is the wordplay.
'afterwards' becomes 'then' (I've seen this before).
'to church' becomes 'ce' (Church of England).
'then'+'ce'='THENCE'
(Other definitions for thence that I've seen before include "As a consequence" , "It follows" , "From that point" , "from that time" , "From that place" .)