Outright greed of sinecure disturbed English dons (9)
I believe the answer is:
Here is my best explanation:
'outright greed' is the definition.
'esurience' can be an answer for 'greed' (I've seen this before). I am not sure about the 'outright' bit.
'sinecure disturbed english dons' is the subsidiary indication.
'disturbed' indicates an anagram.
'english' becomes 'e' (abbreviation).
'dons' indicates putting letters inside.
'sinecure' with letters rearranged gives 'esurince'.
'esurince' going around 'e' is 'esurience'.
'of' is the link.
(Other definitions for esurience that I've seen before include "Desperate greed of" and "Greed".)