Dodgy Rhodes uni promoted (9)
I believe the answer is:
nourished
'promoted' is the definition.
(nourish can mean to promote or cultivate)
'dodgy rhodes uni' is the wordplay.
'dodgy' indicates an anagram (a dodgy or wrong order of the letters).
'rhodes'+'uni'='rhodesuni'
'rhodesuni' anagrammed gives 'NOURISHED'.
(Other definitions for nourished that I've seen before include "Sustained" , "properly fed" .)