Turkish delight at last — after starter of olives, am not upset! (7)
I believe the answer is:
ottoman
'turkish' is the definition.
(as in the Ottoman Empire)
'delight at last after starter of olives am not upset' is the wordplay.
'at last' suggests the final letters.
'after' means one lot of letters go next to another.
'starter of' suggests taking the first letters.
'upset' indicates anagramming the letters.
The final letter of 'delight' is 't'.
The first letter of 'olives' is 'o'.
'am'+'not'='amnot'
'amnot' with letters rearranged gives 'toman'.
't' put after 'o' is 'ot'.
'ot'+'toman'='OTTOMAN'
(Other definitions for ottoman that I've seen before include "Turkish (hist.)" , "Type of seat; Turkish" , "Turk; low stuffed seat" , "Turkish dynasty and cushioned stool" , "Turkish dynasty or long cushioned seat" .)