Sensitive offer (6)
I believe the answer is:
tender
I believe this is a double definition.
'sensitive' is the first definition.
(I know that sensitive 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 "Offer for acceptance" , "Offer; sore" , "Caretaker" , "easily damaged" , "proposal" .)