Card offering sympathy? (5)
I believe the answer is:
heart
I believe this is a double definition.
'card' is the first definition.
(the hearts are a playing card suit)
'sympathy?' is the second definition.
(thesaurus)
'offering' is the link.
(Other definitions for heart that I've seen before include "Earth (anag) -- compassion" , "Cardiac organ" , "Centre; valour" , "Feeling" , "Muscular organ for blood circulation" .)