The only difficulty is stopping too long, and getting started in the morning, assuming you don't lose the trail. Try to get that tent packed quick so you can get moving then you are fine. When it is around zero it gets tough and you may want to stay in the tent all day.
But when you have a moment when you think why am I doing this to myself-pay attention because very soon you will have a moment that makes you know all the trials are nothing compared to the beauty you will see/feel. Every day I had this happen to me when I hiked for 2 weeks in a big snow storm. Those moments I still remember 3 years later.