Herbivores can be more dangerous than carnivores because when they fight or flight it is for their lives and carnivores don’t want to be injured while killing.

A panicked deer will destroy you if it happens to flee into you. Not because it is trying to harm you, but because it weighs a lot and is flailing around like a madman. A goat would do some damage, especially if it gets a chance to head butt you and decides to follow up.