Greek god's about gutted accepting heathens (6)
I believe the answer is:
pagans
'heathens' is the definition.
('pagan' can be a synonym of 'heathen')
'greek god's about gutted accepting' is the wordplay.
'greek god's' becomes 'pans' (Pan is an example**).
'about' indicates putting letters inside.
'gutted' says to hollow out the word (remove centre letters) (to gut something is to remove its insides).
'accepting' with its centre removed is 'ag'.
'pans' going around 'ag' is 'PAGANS'.
(Other definitions for pagans that I've seen before include "Heathens or nature-worshippers" , "They have no religious beliefs" , "Unbelievers" , "Heathens or nature worshippers" , "Non-believers" .)