If this is a question you need to ask OP, what kind of a man are you? Women are the fine spice of life, but you don't eat a bowl of ground pepper for breakfast. If this is really an issue, and you're not super excited about your first girlfriend claim, you need to stop everything you're doing and re-assess how you relate to women, and people in general. If you don't have time enough to do you, then you aren't placing enough value on yourself, and someone who doesn't value themselves is gonna have a hell of a time in the dating world.
Go ski, she can wait. When she wants to go do that thing she likes, you can wait, too.