Cool, distant (5)
I believe the answer is:
aloof
I believe this is a double definition.
'cool' is the first definition.
(I've seen this in another clue)
'distant' is the second definition.
(synonyms)
(Other definitions for aloof that I've seen before include "Withdrawn, distant" , "apart from all else" , "Withdrawn, supercilious" , "Unapproachable, distant" , "Distant or stuck-up" .)