No. It appears to the north.
No, the sun will appear directly overhead along the Tropic of Capricorn in the Southern Hemisphere.
In the Southern Hemisphere the summer solstice occurs when the sun is the farthest south.
It is Winter in the Southern Hemisphere
the Southern Hemisphere is tilted away from the Sun, both the Southern and Northern Hemispheres are tilted toward the Sun, the Northern Hemisphere is tilted away from the Sun, and the Northern Hemisphere is tilted toward the Sun.
During northern hemisphere summer the sun is in the northern sky in the southern hemisphere. Our sun in the northern hemisphere is almost always in the southern sky unless your south of the tropic of cancer so this is why you have to reverse the sundials if you move to the southern hemisphere.
In the Northern Hemisphere, the Sun apparently rises in the east and sets in the west. In the Southern Hemisphere, it is the other way around. The Sun rises in the west and sets in the east. Note that the Sun does not actually move, it is Earth that makes it appear to move.
The South Pole faces the sun during the summer season for the southern hemisphere.
Because the Earth is tilted on its axis, so when the Northern Hemisphere is tilted toward the Sun (Summer, in the North) the Southern Hemisphere is tilted away from the Sun (Winter, in the South) and vice versa.
In the southern hemisphere, the sun appears lowest in the sky on June 21 ... the beginning of Winter ... and highest in the sky on December 21 ... the beginning of Summer.
The southern hemisphere has the greatest exposure to the sun during the winter solstice on or about June 21. There are 24 hours of darkness south of the Antarctic Circle.
When it's winter in the Southern Hemisphere it's summer in the northern hemisphere. Therefore the North geographic pole is tilted towards the sun and the South geographic pole is tilted away from the sun.
In that case, it's spring or summer in the southern hemisphere, and autumn or winter in the northern hemisphere.