A woman's name in opera (4)
I believe the answer is:
aida
'opera' is the definition.
(Aida is an opera by Giuseppe Verdi)
'a woman's name' is the wordplay.
'woman's name' becomes 'ida' ().
'a'+'ida'='AIDA'
'in' acts as a link.
(Other definitions for aida that I've seen before include "Verdi's opera set in ancient Egypt" , "she dies entombed" , "Verdi's Egyptian opera" , "title role" , "Egyptian opera by 11 Down" .)