In short, there's no female candidate for board? (4)
I believe the answer is:
'candidate for board?' is the definition.
(brie might be found on a cheeseboard)
'in short there's no female' is the wordplay.
'in short' becomes 'brief'.
'there's no' indicates named letters should be taken away.
'female' becomes 'f' (common abbreviation).
'brief' with 'f' taken out is 'BRIE'.
(Other definitions for brie that I've seen before include "Variety of cheese", "Kind of soft cheese", "French cream cheese", "cheese-producing region", "Bergamot-flavoured tea".)