So would you have shot the Tibetan monk???
A Tibetan monk is only slightly less likely to suddenly appear in my home, unannounced, at 3 AM than a 10 year old.
Unless you have given house keys to friends/family, which I haven’t, or leave your home unsecured, which I don’t, you should not be awakened by any unexpected guest at 3 AM. That’s why neither the monk nor the child would be present.
You’re fond of “what if.” If you awoke at 3 AM, turned on your light, and Karla Leanne Homolka stood in your bedroom, would you shoot her?
They left their door unlocked, anyone could walk in, including a Monk or 10 year old who thinks he’s entering his own house. Yes, you have the right to shoot either of them, and the right to regret it for the rest of your days.