Sam the Big Bad Cat is Sheila May Bird‘s first book. Published by Collins Educational in 2005, and illustrated by Trish Phillips, it’s still in print today.
From the publisher:
Sam the big, bad cat isn’t feeling well. Tom wants to take him to the vet. Sam doesn’t want to go, and finds a variety of hiding places to escape. Tom pursues him, getting more and more bedraggled in the process. Finally Tom goes to bed, leaving Sam – who is feeling much better – to enjoy a snack.