You'd be headed nowhere. Since the South Pole is in Antarctica, you wouldn't have to move at all.
northeast
Northwest
South
North. From the south pole, every direction is North, no matter where you're going.
You'd be going Northeast.
North
It would be logical; that you would be going North.
North
north
you would be in Antarctica.
From the south pole itself everywhere is north
Everywhere on Earth is due north of the south pole.