Personally, I love the challenge of running through snow.
It feels really hard core, like only the most dedicated (or addicted/insane/compulsive) are out on the trails plowing through inches of the white powdery stuff. It works some muscles particularly hard; my hip flexors, quads, and particularly my Tensor Fascia Lata muscles are all deeply fatigued at the end of a long run through the snow.
And really, it's part of the game when running in a northern state. All we can do is deal with it, or condemn ourselves to the treadmill for four months out of the year.
Still, I am getting a little nervous about doing a 50K in this next Sunday. It's going to be a an interesting journey. Hopefully no injuries will result.