Betray a failing (6)
I believe the answer is:
defect
This clue is a double definition.
'betray' is the first definition.
(thesaurus)
'a failing' is the second definition.
(I've seen this before)
(Other definitions for defect that I've seen before include "Flaw, blemish" , "Blemish, fault" , "Flaw - change sides" , "Fault - default" , "Desert - fault" .)