Thick-skinned and unfeeling (7)
I believe the answer is:
callous
I believe this is a double definition.
'thick-skinned' is the first definition.
('callous' can be a synonym of 'thick-skinned')
'unfeeling' is the second definition.
('callous' can be a synonym of 'unfeeling')
'and' is the link.
(Other definitions for callous that I've seen before include "Hard-hearted" , "Emotionally hardened" , "Insensitive, cruel" , "Cruelly unfeeling" , "Cruel or unsympathetic" .)