Only female parts concerned patroness of the arts (6)
I believe the answer is:
athene
'patroness of the arts' is the definition.
(Greek goddess regarded as a patron of the arts)
'only female parts concerned' is the wordplay.
'only female' becomes 'hen' (as in a hen night).
'parts' means one lot of letters goes inside another (in the sense of cuts or separates).
'concerned' becomes 'ate' (something concerning might eat someone up).
'hen' inserted within 'ate' is 'ATHENE'.
(Other definitions for athene that I've seen before include "deity" , "Wise woman" , "Minerva was Roman counterpart of this goddess" , "One inclined towards socialism or communism" , "Pallas -, Greek goddess of wisdom" .)