Rejected a ham omelette, initially, in Nebraskan city (5)
I believe the answer is:
omaha
'nebraskan city' is the definition.
(I've seen this in another clue)
'rejected a ham omelette initially' is the wordplay.
'rejected' shows that the letters should be reversed in order.
'initially' says to take the initial letters.
The initial letter of 'omelette' is 'o'.
'a'+'ham'+'o'='ahamo'
'ahamo' back-to-front is 'OMAHA'.
'in' is the link.
(Other definitions for omaha that I've seen before include "- - Beach (WWII)" , "American town" , "Largest city in Nebraska" , "place in Nebraska" , "Nebraska city and code-named beach of D-Day landings" .)