Play it safe by keeping your mouth shut. You have the right to remain silent. Use it. Do not disturb the evidence. If you've shot righteously, then all you can do is hope the police, prosecutor, Grand Jury or Petite Jury, as applies, see it your way. And that you've got the best lawyer you can afford.
Reminds me of a lady in the town I grew up in, possibly a distant relative, but definitely from a family that was friends with my Dad's family. She was spinster lady who lived alone, in an old farmhouse on the edge of town. She was tormented by kids, high school and college, for years. Then one night an itinerant decided her house would be a good place to spend the night (no electricty so it may have appeared abandoned). He made it about halfway in the kitchen window, which was at the bottom of the stairs. She blew his head off, literally, from the stairs. No charges, took awhile to figure out who the deceased was. But I'm told by her great niece and nephew, who were in AFROTC with me, that it unhinged the poor gal. But the point was the body was found outside, but the evidence made it clear what had gone down.
No local would have made that mistake, she was know locally as "Bloody Mary".