Sensitive offer (6)
I believe the answer is:
tender
This clue is a double definition.
'sensitive' is the first definition.
(synonyms)
'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" .)