Distrust, have doubts about (7)
I believe the answer is:
suspect
This clue is a double definition.
'distrust' is the first definition.
(I know that distrust can be written as suspect)
'have doubts about' is the second definition.
(I've seen this before)
(Other definitions for suspect that I've seen before include "person in the dock" , "Imagine guilt" , "Doubt - man held by police" , "Dubious" , "One believed responsible" .)