More compassionate family, visibly embarrassed, retreating (6)
I believe the answer is:
kinder
'more compassionate' is the definition.
('kind' can be a synonym of 'compassionate')
'family visibly embarrassed retreating' is the wordplay.
'family' becomes 'kin' (synonyms).
'visibly embarrassed' becomes 'red' (someone may blush or go red when embarrassed).
'retreating' shows that the letters should be reversed in order.
'red' in reverse letter order is 'der'.
'kin'+'der'='KINDER'
(Other definitions for kinder that I've seen before include "with less severity" , "Scout may follow this" , "More agreeable" , "more pleasant" , "More considerate and helpful" .)