Pick an artist to be the Greek heroine (7)
I believe the answer is:
electra
'the greek heroine' is the definition.
'electra' can be an answer for 'heroine' (I have seen 'heroine of Greece' mean 'electra' so perhaps 'heroine' could also mean 'electra'). I'm unsure of the 'the greek' bit.
'pick an artist' is the wordplay.
'pick' becomes 'elect' (to elect is to pick or select).
'an artist' becomes 'RA' (Royal Academician, member of Royal Academy of Arts).
'elect'+'ra'='ELECTRA'
'to be' is the link.
Can you help me to learn more?
(Other definitions for electra that I've seen before include "Greek tragedy" , "King's daughter" , "Sort of complex" , "Complex parallel to Oedipus" , "mythological princess" .)