Fur coat owner's hesitant admission? (6)
I believe the answer is:
ermine
'fur coat' is the definition.
I cannot understand how the rest of the clue works.
(Other definitions for ermine that I've seen before include "Animal with brown fur that turns white in winter" , "White fur worn by some judges" , "Stoat's winter fur" , "'Trimming on royal robes, say (6)'" , "Ceremonial fur" .)