So Christians, this is suicide, correct?

If I say to you "Give me your wallet or I'm going to set you on fire" and then you don't give me your wallet, I'm not a bad person if I set you on fire since I gave you a choice right? I mean, I didn't hinder your free will one bit; you had a choice between accepting my gift of life or dying. You then CHOSE to kill yourself by refusing that gift, correct? Which would then absolve me of any responsibility since I did give you a choice and YOU chose hell...err I mean immolation.