Hide in disgust -- otherwise will get picked out (13)
I believe the answer is:
distinguished
'picked out' is the definition.
('distinguish' can be a synonym of 'pick out')
'hide in disgust otherwise' is the wordplay.
'otherwise' indicates anagramming the letters.
'hide'+'in'+'disgust'='hideindisgust'
'hideindisgust' is an anagram of 'DISTINGUISHED'.
'will get' is the link.
(Other definitions for distinguished that I've seen before include "Noble and dignified in appearance" , "like a VIP" , "Treated as different" , "Acclaimed" , "Recognised - famous" .)