Some of public hate Audi estate (7)
I believe the answer is:
chateau
'estate' is the definition.
'some of public hate audi' is the wordplay.
'some of' indicates a hidden word.
'CHATEAU' can be found hidden inside 'public hate audi'.
(Other definitions for chateau that I've seen before include "Large country house in France" , "Impressive house in France" , "Castle, especially in France" , "Stately home in France" , "French wine producer" .)