No teeth are damaged on-screen, but a character attempts to break through a crab shell with their teeth and is warned that they'll break their teeth that way. The same character is also missing a tooth, so it can be implied that they damaged it.
There is no deadnaming or birthnaming. Cats are named after various parts of nature in a gender-neutral matter, so transgender cats do not change names during their transition.
There are several instances of bugs appearing in the comic. However, they are usually not shown in great detail, and are often simply in the background as vague, solid-colour shapes.
While animals aren't abused by humans (as there are none present in the webcomic), there are several instances of animal characters - specifically cats - being physically, mentally and emotionally abused by other cats.
The Kings and Queens of the cult intentionally let themselves get eaten by sharks when their time as monarch is over. Some also choose to let themselves be eaten by sharks when they feel they are ready to serve their God.