I read a picture book back in the early to mid 1980s that dealt with a bunch of animals who notice that someone built a snowman in a field. The rabbits and other animals are all terrified of the snowman until he begins to melt. Once he begins to melt they all relax and the rabbits eat his nose I think.
I believe this was published too late for your description, but just in case: ‘Stranger in the Woods: A Photographic Fantasy’ by Carl R. Sams II, Jean Stoick
Hi, the details are somewhat different, but try Spring Snowman by Jill Barnes. It has wild animals who interact with a snowman in a field, but they aren’t afraid of it. I loved this book and used it for story times for many years.
Try Spring Snowman by Jill Barnes. Not exactly the same details, but close