Discourage, put off (5)
I believe the answer is:
deter
I believe this is a double definition.
'discourage' is the first definition.
(I know that discourage can be written as deter)
'put off' is the second definition.
(both can mean to discourage)
(Other definitions for deter that I've seen before include "Put (someone) off" , "Put off (from an action)" , "Discourage or prevent from doing something" , "Dishearten" , "'Discourage, dissuade (5)'" .)