A drink for that damned woman? (6,4)
I believe the answer is:
bloody mary
'a drink' is the definition.
(Bloody Mary is an example)
'that damned woman?' is the wordplay.
'that damned' becomes 'bloody' (I can't justify this - if you can you should believe this answer much more).
'woman?' becomes 'Mary' (woman's name).
'bloody'+'mary'='BLOODY MARY'
'for' is the link.
Can you help me to learn more?
(Other definitions for bloody mary that I've seen before include "The Red Queen" , "it could be an eye-opener" , "Tomato juice and vodka" , "killing Queen?" , "something to drink" .)