The daughter who thinks you are unreasonable is also telling you that the Christmas gifting is very stressful for her. Difficult as it may be, you might want to give her request more consideration.
A solution for you - give them small 'because I love you' gifts throughout the year instead of all at once on Christmas.
I come from a large family. We long ago decided that we, as siblings, would not give gifts to each other for Christmas or birthdays. Our nieces and nephews get small gifts, and now they like money so that is an easy wish to fill - Thank God! Once they were out on their own, we stopped gifting them at all, but we do gift their children. My own grandchildren get money, but I usually give them a small gift to open on Christmas day as well.