Girl courted without energy in part of Los Angeles (9)
I believe the answer is:
hollywood
'part of los angeles' is the definition.
'girl courted without energy' is the wordplay.
'girl' becomes 'holly' (**).
'courted' becomes 'wooed' ('woo' can be a synonym of 'court').
'without' indicates named letters should be taken away.
'energy' becomes 'e' (physics symbol as in E=mco).
'wooed' with 'e' removed is 'wood'.
'holly'+'wood'='HOLLYWOOD'
'in' is the link.
(Other definitions for hollywood that I've seen before include "Tinseltown" , "Cinematically brash and romantic" , "Where Frankie goes" , "in LA?" , "There's a place for tinsel" .)