Panda Paws
Once you have a companion, a blue icon will appear in the top-left corner of the screen showing their portrait and health.
While pets start friendly and are generally immune to hostile status effects like "love injectors," they are not invincible. Pets - Official Caves of Qud Wiki
Pets can get stuck in narrow corridors or wander off. In the base game (without mods), getting them unstuck can be tricky. You often have to wait for them to teleport to you if they are too far away, or manually guide them.
Here’s a short flavor text for a Caves of Qud pet, written in the game’s distinctive style:
This is the most common way to get specific creatures.