The phenomenon you describe occurs because the Earth tilts on its axis and and reverses itself on December 21.
The phenomenon you describe occurs because the Earth tilts on its axis and and reverses itself on June 21.
It is Winter in the Southern Hemisphere
Your answer depends on where you are. At the South Pole when the Earth is tilted toward the Sun, it's summer.
Tangent to orbit, north away, tangent to orbit, south away.
There is only one axis and it is always tilted. The part of the axis we call the 'north' pole is tilted toward the sun in the northern summer, and the 'south' pole is tilted toward the sun during the southern summer. That said, the earth itself is a little closer to the sun during the southern summer/northern winter.
June
In the Summer (June).
The 'equinoxes' occur in March and September. At those times, neither pole is tilted toward or away from the sun. At the time of the June solstice, the north pole reaches its maximum tilt toward the sun, whereas at the time of the December solstice, the south pole is at its maximum tilt toward the sun.
Away.
June, July and August. When the Northern Hemisphere is tilted towards the sun and when the Southern Hemisphere is tilted away from the sun.
In June, it is summer in the Northern Hemisphere of Earth. So I'd assume that the Northern Hemisphere is closer to the Sun at that time, and that would probably occur because the North Pole is tilted towards the Sun during June. In fact, the Summer Solstice is in the middle of June somewhere.
For societies that measure the passage of a year in the same system of months, the months occur at the same times worldwide. But the seasons are opposite for places in the northern hemisphere (such as the U.S.) and places in the southern hemisphere (such as Argentina). So although June in the U.S. is June in Argentina, June is summer in the U.S. and winter in Argentina. This is because the Earth's axis is tilted, so when the northern hemisphere is tilted toward the sun the southern is tilted away, and vice-versa.