Feeling that is not heartless after broadcast (8)
I believe the answer is:
sentient
'feeling' is the definition.
('sentient' can be a synonym of 'feeling')
'that is not heartless after broadcast' is the wordplay.
'that is' becomes 'ie' ('i.e.' can be a synonym of 'that is').
'heartless' means to remove the middle letters.
'after' says to put letters next to each other.
'broadcast' becomes 'sent' (I've seen this in other clues**).
'not' with its centre taken out is 'nt'.
'ie'+'nt'='ient'
'ient' put after 'sent' is 'SENTIENT'.
(Other definitions for sentient that I've seen before include "Capable of feeling things as in tenets" , "Able to perceive or feel things" , "Feeling, conscious" , "Endowed with feeling and consciousness" , "Conscious - aware" .)