I am as I say, older than dirt, and something similar happened to me when I was young. I was home alone, in a very remote place, and someone decided no one was home and decided to break into my barn shed. I went through all sorts of mental gyrations while waiting for the police to arrive. I tried to figure the best options for a good resolution of this situation. The scenario of going out and confronting them in the shed wasn't going to lead to the best outcome in my mind, which was "I call police--they come within a reasonable amount of time and apprehend these people either while they are still here, or while they are getting away or later." The worst outcome I could think of, which would involve self defense, was if they decided to come on up and break into the house, which would probably have involved some action by my heavily armed and well trained self. Getting to shoot at someone, even if by intention non-fatally, was not something I was anticipating with much enthusiasm, I can tell you! I know a person who was maimed for life by a person who did not "shoot to kill" when he mistakenly tried to get into the wrong apartment while intoxicated.
I found out there were actually two of them, one a look out and one the breaker in-er. Because the police came immediately after I had flipped on the lights and let them know the house was occupied by someone who'd probably gotten their license plate number and probably was interested in shooting them. And they started running away frantically. How big a hero would I have been if I'd then stepped out and opened up on them? After all, they WERE breaking in on me.
And as is the case in so many of these type cases, it was a couple of dopey teenagers who were known to us. I am very glad I didn't go "all commando" (since the OP doesn't like cowboys) on them and come out and blow them away. I don't know what I'd have told their grandparents.