A Greek god has the right animal (7)
I believe the answer is:
panther
'animal' is the definition.
(I know that panther is a type of wildcat)
'a greek god has the right' is the wordplay.
'a greek god' becomes 'Pan' (Pan is an example).
'has' says to put letters next to each other.
'right' becomes 'r' (common abbreviation).
'pan'+'the'+'r'='PANTHER'
(Other definitions for panther that I've seen before include "animal!" , "Then rap the large black cat" , "Black leopard" , "kind of feline" , "big pussycat" .)