A lot of people imagine a great deal more pain than is the truth. A way one can tell about an animal's pain is in watching their behavior. I am not saying that it does not hurt at all, but I am saying that it is not a life threatening pain. If an animal jumps up, can walk, even with a slight limp, that will most likely be gone within 12 hours. If an animal returns to eating, drinking and walking around and acting normally, it was not that painful.
Think of it as scabbed knees. Most of us got them, maybe even cried a bit, but it never stopped me from riding bikes or roller skating.