Perhaps Murdoch's integral to Blairism? (4)
I believe the answer is:
iris
'perhaps murdoch's' is the definition.
(Iris Murdoch)
'integral to blairism?' is the wordplay.
'IRIS' is hidden within the letters.
But, I'm unsure how this is indicated.
Can you help me to learn more?
(Other definitions for iris that I've seen before include "Camera diaphragm" , "pupil's governor" , "may open up in camera" , "Fleur-de-lis" , "Lily" .)