I live in Ontario, Canada and we get more than 30cm in two days sometimes! I guess if you're born here you either learn to love snow and cold or you get the heck out!!!
The key to enjoying the outside when it's cold is dressing appropriately, which I'm sure you know since you love skiing! Hopefully if you bundle her up and keep taking her out she will learn to love the outdoors in winter. It's so important to stay active in the winter or else we'd never get any fresh air for months!
I hope she learns to love winter sports as much as you, and I'm sure if you keep showing her how much fun it is then she will, and you'll both be skiing before you know it!!