Probably so. First the shed is not attached to the house, hence no burglary. Probably just theft. You might be able to convince the prosecutor that the person running out of the shed was threatening you if he was running towards you and it was a natural reaction but doutful. I don't think that you could convince a jury that your life was in danger. It would be okay to hold them at gunpoint until the police arrived (not knowing what they have on them and if you feel threatened) but if they decide to make a break...sorry.
Please daddy, tell us how close we are (comic relief).
Hey, if I recall you are from evansville... do you remember the ex-police officer who shot the robber as he fled the pizza joint he just robbed? If I remember the incident right the prosecutor (Stan Levco, I believe) issued no charges. I think he even shot the guy in the back. It's been awhile so I can't remember all the details but I thought you might.