Goddess appearing in this island (4)
I believe the answer is:
isis
'goddess' is the definition.
(Egyptian god)
'in this island' is the wordplay.
'in' says the answer is hidden in the clue.
'ISIS' can be found hidden inside 'this island'.
'appearing' acts as a link.
(Other definitions for isis that I've seen before include "A dark blue flower" , "Egyptian goddess and jihadist group" , "Mrs Osiris" , "academic stream?" , "Egyptian fertility goddess, mother of Horus" .)