Court's first ace for server (7)
I believe the answer is:
barista
'server' is the definition.
(I know that barista is a type of server)
'court's first ace' is the wordplay.
'court's' becomes 'bar' (I can't justify this - if you can you should give a lot more credence to this answer).
'first' becomes 'ist' (ist resembles bst).
'ace' becomes 'a' (abbreviation).
'bar'+'ist'+'a'='BARISTA'
'for' is the link.
Can you help me to learn more?
(Other definitions for barista that I've seen before include "Coffee maker?" , "Coffee servitor" , "Starbucks employee" , "Coffee bar server" , "Coffee expert" .)