Snobbish aristo, one Dee's diverted (6-5)
I believe the answer is:
toffee-nosed
'snobbish' is the definition.
(I've seen this before)
'aristo one dee's diverted' is the subsidiary indication.
'aristo' becomes 'toff' (I've seen this before).
'diverted' indicates an anagram.
'one'+'dees'='onedees'
'onedees' is an anagram of 'eenosed'.
'toff'+'eenosed'='toffeenosed'
(Other definitions for toffee-nosed that I've seen before include "Snobbish, patronising" , "Supercilious (with a sticky hooter?)" , "superior?" , "Stuck-up" .)