Islander without a care and a bronzed skin (6)
I believe the answer is:
cretan
'islander' is the definition.
(someone from Crete)
'without a care and a bronzed skin' is the wordplay.
'without' indicates named letters should be taken away.
'and' is a charade indicator (letters next to each other).
'a bronzed skin' becomes 'tan' (a sun tan).
'care' with 'a' removed is 'cre'.
'cre'+'tan'='CRETAN'
(Other definitions for cretan that I've seen before include "Greek islander" , "Native of Greek island south of mainland (6)" , "Native of a large Greek island" , "From Greece" , "A Mediterranean islander" .)