Never point a gun at anyone unless you are planning to shoot to kill them. Normal combat training is two to the chest followed by two to the head. Any defensive training course will tell you to fire multiple rounds until the threat stops. At close range that should mean death.
Trying to shoot someone to just wound them is dangerous advice. A wounded intruder with a weapon can still shoot you. Always shoot to kill.
Chasing and shooting a fleeing suspect is another matter.
I’m not advocating “shooting to wound.” That is silly Hollywood stuff. “Aim for the center of mass and fire until the target is no longer a threat” would be my advice. “2 to the chest followed by 2 to the head” is fine for Baghdad or Tora Bora but in a domestic self-defense scenario is a recipe for 20 to life in the Big House. The prosecutor will characterize a deliberate head shot as an execution-especially if it was not the first shot or if it was administered after the target ceased advancing.