Woman from Fair Isle (4)
I believe the answer is:
iris
'woman' is the definition.
(woman's name)
'from fair isle' is the wordplay.
'from' indicates the answer is hidden within the clue.
'IRIS' can be found hidden inside 'fair isle'.
(Other definitions for iris that I've seen before include "may open up in camera" , "Plant - part of the eye" , "Flower - rainbow" , "Circular coloured membrane in the eye" , "Flower and eye membrane" .)