Part of church article intuition rejected (4)
I believe the answer is:
apse
'part of church' is the definition.
(part of a church building)
'article intuition rejected' is the wordplay.
'article' becomes 'a' (the indefinite article in English).
'intuition' becomes 'ESP' (extra-sensory perception).
'rejected' shows that the letters should be reversed in order.
'esp' in reverse letter order is 'pse'.
'a'+'pse'='APSE'
(Other definitions for apse that I've seen before include "part of cathedral" , "Semicircular end of a church, behind the altar" , "place in church" , "Part of a church with the altar" , "Rounded end of building" .)