Doctor raced outside of healthcare department in France (7)
I believe the answer is:
ardeche
'department in france' is the definition.
(I know that Ardeche is a department of France)
'doctor raced outside of healthcare' is the wordplay.
'doctor' is an anagram indicator.
'outside of' says to hollow out the word (remove centre letters).
'healthcare' with its middle removed is 'he'.
'raced' with letters rearranged gives 'ardec'.
'ardec'+'he'='ARDECHE'
(Other definitions for ardeche that I've seen before include "rural area of France" , "part of France" , "French department" .)