The correct response to how it is possible for Earth to be closest to the sun in January while experiencing winter in the Northern Hemisphere is:
The angle at which the sun strikes Earth is more important than the distance.
This is because the tilt of Earth's axis affects the angle of sunlight that reaches the surface. Even when Earth is closest to the sun (during perihelion in early January), the Northern Hemisphere experiences winter due to this axial tilt, resulting in less direct sunlight and shorter daylight hours.