Which way would you face now if you turned $45^{\circ }$ to the left after starting by facing north-east?

1. Initially, you are facing the North-East (NE) direction, which lies exactly midway between North and East ($45^{\circ }$ clockwise from North).
2. Turning to the left means turning counter-clockwise (anti-clockwise).
3. A $45^{\circ }$ turn counter-clockwise from North-East brings you exactly to the North direction.

Therefore, you are now facing North.