Wild notion to correspond with hawk-headed god (7)
I believe the answer is:
chimera
'wild notion' is the definition.
(I've seen this before)
'correspond with hawk-headed god' is the wordplay.
'correspond with' becomes 'chime' (I can't explain this - if you can you should give a lot more credence to this answer).
'hawk-headed god' becomes 'ra' (Egyptian god).
'chime'+'ra'='CHIMERA'
'to' acts as a link.
Can you help me to learn more?
(Other definitions for chimera that I've seen before include "figment of the imagination" , "fabulous beast" , "Illusory achievement; mythical beast" , "Race him (anag.)" , "In Greek myth, a monster-mix of lion, goat and serpent" .)