Was Kyle's shooting self defense?

[Dr. Strange]

9. Agreed.

Had he went inside. armed himself and stayed inside:

Told his wife (or whatever she it) to come inside and the man prevented her from doing so and physically assaulted her, or the other party attempted to forcefully enter the house, he could "defend".

I would say this is not self defense.

I think if the deceased had in fact been there to pick up his kid at a court-ordered time and location, then it becomes even more clear. I'll be interested to see the full facts come out.