You can't see stars during the day because the sun's light overwhelms them. However, if we could see stars in the daytime, the constellation visible at noon on a winter day would be the one directly opposite the sun in the sky, which would be the constellation that is visible at midnight during the summer.

That constellation is Orion.

While Orion is a prominent winter constellation in the Northern Hemisphere, it would be opposite the sun and therefore visible at noon during the winter.