It’s fun experimenting isn’t it? 🙂 Good job on getting rid of all the distractions in the background!
The photo is definitely underexposed. Here’s a trick to help you tell if your snowy image is underexposed… Take a piece of white paper and hold it up beside your photo; is the snow as white as the paper? (Of course, the screen brightness will affect the outcome.) But the takeaway is to train your eyes to look. When you look at the snow compared to your bright white paper, the snow looks grey, doesn’t it? But when don’t have a white reference point, your eyes and brain work together to “trick” you into seeing white because your brain knows that snow is supposed to look white. As photographers, we have to pay attention to the tricks our brain plays on us, and compensate. 🙂
I’ve attached my edit of your photo brightened up more to what looks a bit more “white” to my eyes.