The correct explanation for why Earth is closest to the sun in January, when it is winter in the Northern Hemisphere, is:
The angle at which the sun strikes Earth is more important than the distance.
This means that the seasons are primarily determined by the tilt of Earth's axis rather than its distance from the sun. During January, the Northern Hemisphere is tilted away from the sun, resulting in colder temperatures and winter, even though Earth is at its closest point to the sun (perihelion).