Noted female artist linked to Kent, not capital (7)
I believe the answer is:
eminent
'noted' is the definition.
(eminent means famous or noted)
'female artist linked to kent not capital' is the wordplay.
'female artist' becomes 'emin' (British artist Tracey Emin).
'linked to' is a charade indicator (letters next to each other).
'not capital' means to remove the first letter.
'kent' with its initial letter removed is 'ent'.
'emin'+'ent'='EMINENT'
(Other definitions for eminent that I've seen before include "Distinguished and admired" , "Respected; outstanding" , "Noted" , "Met nine who were distinguished" , "Famous and admired" .)