Nude Eskimo has developed European complaint (10,4)
I believe the answer is:
housemaids knee
'complaint' is the definition.
(housemaid's knee is a kind of health problem)
'nude eskimo has developed european' is the wordplay.
'developed' indicates anagramming the letters.
'european' becomes 'E' (abbreviation e.g. EU).
'nude'+'eskimo'+'has'='nudeeskimohas'
'nudeeskimohas' is an anagram of 'housemaidskne'.
'housemaidskne'+'e'='HOUSEMAIDS KNEE'
(Other definitions for housemaids knee that I've seen before include "complaint to a servant?" , "Joint inflammation" , "joint tenderness" .)