Pressure on detective inspector creating anxiety (8)
I believe the answer is:
distress
'anxiety' is the definition.
(distress is a kind of anxiety)
'pressure on detective inspector' is the wordplay.
'pressure' becomes 'stress' (I've seen this in another clue).
'on' means one lot of letters go next to another.
'detective inspector' becomes 'DI'.
'stress' put after 'di' is 'DISTRESS'.
'creating' is the link.
(Other definitions for distress that I've seen before include "State of anxiety or woe" , "Anguish - trouble - danger" , "Adversity" , "Extreme anxiety or pain" , "grief" .)