Edward, dramatist unafraid of Virginia Woolf (5)
I believe the answer is:
albee
'edward dramatist' is the definition.
'albee' can be an answer for 'dramatist' (I've seen this before). I'm not sure about the 'edward' bit.
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for albee that I've seen before include "Edward --, US playwright" , "even if now forgotten?" , "American dramatist" .)