The woman will search for oysters, maybe (9)
I believe the answer is:
shellfish
'oysters maybe' is the definition.
(I know that oyster is a type of bivalve)
'the woman will search' is the wordplay.
'the woman will' becomes 'shell' (contraction of 'she will').
'search' becomes 'fish' (fishing is a kind of searching).
'shell'+'fish'='SHELLFISH'
'for' acts as a link.
(Other definitions for shellfish that I've seen before include "Lobsters, cockles, mussels etc" , "provider of pearls?" , "Crustaceans" , "Category of seafood" , "A shrimp, maybe" .)