Affectionate offer (6)
I believe the answer is:
tender
I believe this is a double definition.
'affectionate' is the first definition.
(I know that affectionate can be written as tender)
'offer' is the second definition.
(tender can mean to offer something)
(Other definitions for tender that I've seen before include "Caring" , "sensitive > carer > money" , "A gentle kind of bid" , "'Soft, sensitive offer? (6)'" , "One who cares" .)