Annoyed, ran over fool (8)
I believe the answer is:
harassed
'annoyed' is the definition.
(harassing is a kind of annoying)
'ran over fool' is the wordplay.
'ran' becomes 'hared' (haring is a kind of running**).
'over' is an insertion indicator.
'fool' becomes 'ass' (ass is a kind of fool).
'hared' enclosing 'ass' is 'HARASSED'.
(Other definitions for harassed that I've seen before include "Badgered" , "Pestered; under strain" , "in a state of torment" , "Pestered continually" , "Distraught" .)