Study some wine first, then blush (6)
I believe the answer is:
redden
'blush' is the definition.
(I know that blush can be written as redden)
'study some wine first' is the wordplay.
'study' becomes 'den' (term for a study or office).
'some wine' becomes 'red' (red is a type of wine).
'first' means one lot of letters go next to another.
'den' after 'red' is 'REDDEN'.
'then' is the link.
(Other definitions for redden that I've seen before include "Reveal embarrassment in colourful way" , "Group of states under one head" , "Flush, become embarrassed" , "Evaluate the nature of (something)" , "Blush or become flushed" .)