The tie is scheduled to take place on Sunday 17 March (2pm kick-off), although the venue is still to be confirmed.
Cardiff currently play their football in the FA Women’s Premier League.
BCLFC lifted the trophy for the first time in their history with a 3-2 penalty shoot out victory over Chelsea at Ashton Gate last May following a 2-2 draw.
Draw in full:
Sunderland v Manchester City
Aston Villa v Liverpool
Doncaster Rovers Belles v Bristol Academy
Cardiff City v Birmingham City
Nottingham Forest v Arsenal
Oxford United v Everton
Lincoln Ladies v Chelsea
Leeds United v Yeovil Town