If you delete character who had pet, animal will stay in world on it's last position,. You can click on it to get info about its name and health on top of screen and if you click on "horse head" on right side of animal name you get "love" bar which is in "indiferent" position in the middle. No option to feed it or tame it. It's abandoned animal and should be set to be "free" after char is deleted to able to tame it again with another player. This way it just sits on its position and yust getting in your way, need to go around it. Cant attack it or anything.