When I was a kid, growing up back on the farm, my Father was working out of town. One night someone came banging on the back door. After asking for identification and giving due warning, making sure it was not dear old Dad, Mom put 2 rounds through the top of the door. Needless to say the Night Prowler never returned. This was back in the 60's and one didn't bother calling the Police because out in the rural country side it took them too long to respond. We didn't have Duty To Retreat Laws in Kentucky back then, (They still don't) and had she plugged the guy it would have been not problem legally.
My Father was a Union Organizer in the Coal Mines back in those days and a few handguns and a shot gun were kept on hand, just in case. Us kids knew where they were kept but unless an Adult gave us permission or as a Last resort for home defense we left them alone.
If the Teenager in the news story had waited to identify her target before she shot, then it could have also presented the intruder with an opportunity to disarm her. As several folks have pointed it's not good form to shoot through a closed doors but in this case all's well that's ends well.