Despicable type, that woman? I should say so (6)
I believe the answer is:
rather
'i should say so' is the definition.
(both are expressions used to show agreement)
'despicable type that woman?' is the wordplay.
'despicable type' becomes 'rat' (I've seen this in other clues).
'that woman?' becomes 'her' (pronoun for a woman).
'rat'+'her'='RATHER'
(Other definitions for rather that I've seen before include "Slightly, more so than not (6" , "On the contrary; sooner" , "A bit" , "On the contrary; more precisely" , "To a certain extent" .)