Since you are not together often, give her a special gift so that she can have something to rely on when she misses you. In the cold winter, it is best to give some small gifts that can bring warmth, and Christmas gifts must be romantic.
Now many websites have special customized gifts (but you have to hurry up, otherwise you may not have enough time). Those small personalized gifts can customize the patterns on the gifts, which will also appear very thoughtful! You can consider a color-changing mug. Pour hot water into it in the cold winter, and the pattern you customized on the cup will be displayed immediately, and you will have a better experience every time you drink water.
Or a fluffy pillow, which girls like more, and the price is not very expensive, but the price is not the point, the key lies in your intention! A good gift is not luxurious and expensive in itself, the most important thing is that it contains the deep affection of the giver, and they can touch the other person's heart the most. I hope my answer can inspire you! I also hope you have a happy Christmas!