Baba Kama 4:6

If an ox was scratching itself against a wall and it knocked it over, killing a person, or if the ox intended to kill an animal but ended up killing a person, or if it intended to kill a non-Jew but it killed a Jew, or if it intended to kill a child that wasn’t viable but it killed one that was viable – in all of these cases, the ox is exempt from being stoned.

Baba Kama 4:7

The following oxen are liable to stoning if they kill: an ox belonging to a woman, an orphan, or the administrator of an incompetent person’s affairs, a wild (i.e., ownerless) ox, and one belonging to the Temple or to a convert who has no heirs. Rabbi Yehuda says that a wild ox, or one belonging to the Temple or to a convert who has no heirs is exempt from stoning because they have no owner.