English playwright, male, not welcome in all-female area (4)
I believe the answer is:
hare
'english playwright' is the definition.
(David Hare)
'male not welcome in all-female area' is the wordplay.
'male' becomes 'm' (common abbreviation).
'not welcome in' is a deletion indicator.
'all-female area' becomes 'harem'.
'harem' with 'm' taken away is 'HARE'.
(Other definitions for hare that I've seen before include "Sort of rabbit" , "'Swift, long-eared animal (4)'" , "Leveret" , "Animal like large rabbit - let it sit" , "Fast runner" .)