The Prophet (ﷺ) said: No recompense is to be demanded if one is kicked by an animal.

Abu Dawud said: An animal kicks someone with its leg while one is riding on it.
Sunan Abi Dawud Book 41, Hadith 99
← Previous Hadith The Prophet (ﷺ) said: If anyone is killed blindly or, when people are throwing stones, by a stone or a whip, his blood-wit is the blood-wit for an accidental murder. But if anyone is killed intentionally, retaliation is due. If anyone tries to prevent it, the curse of Allah, of angels, and of all the people will rest on him.

Sunan Abi Dawud Book 41, Hadith 98 Next Hadith → The Messenger of Allah (ﷺ) as saying: No retaliation is payable for a wound caused by a dumb animal, for a mine, and for a well. On the treasure found buried in the land there is a fifth.

Abu Dawud said: A dumb animal means an animal which is free and has not tether, and there is no one (as a watchman) with it. It causes harm by day and not by night.

Sunan Abi Dawud Book 41, Hadith 100