Strange love for a Doctor of Divinity (3)
I believe the answer is:
odd
'strange' is the definition.
(I've seen this before)
'love for a doctor of divinity' is the wordplay.
'love for' becomes 'o' (I've seen this in other clues).
'a doctor of divinity' becomes 'DD' ('DD' can be a synonym of 'doctor of divinity').
'o'+'dd'='ODD'
(Other definitions for odd that I've seen before include "Peculiar or eccentric" , "Left over" , "Eccentric or unpaired" , "Unusual, strange" , "Unmatched" .)