Woman from Barcelona omitted (5)
I believe the answer is:
naomi
'woman' is the definition.
'from barcelona omitted' is the wordplay.
'from' indicates a hidden word.
'NAOMI' is hidden in the letters of 'barcelona omitted'.
(Other definitions for naomi that I've seen before include "woman's name" , "mother- in-law" , "OT female" , "Biblical character" , "-- Campbell, British model" .)