Cougar, which when beheaded, represents Shiva’s consort (4)
I believe the answer is:
puma
'cougar' is the definition.
(synonyms)
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for puma that I've seen before include "Large American cat" , "Large American feline resembling a lion" , "American wildcat" , "Mountain lion" , "American wild cat" .)