The Small-Animallike Lady is Adored by the Ice Prince manga volume 1 features story by Hisui and art by Mugi Sawai.

I'm Liliana, the daughter of an earl, and I'm in a terrible bind. For some reason, when the “Ice Prince,” Prince William, hosted a party to find his bride, I was the lucky guest he chose! Except…living a life as royalty is just about the last thing I want. So my goal is to break off my engagement—the sooner the better! But why is it that day by day, His Highness's attitude only grows sweeter…?