First sign of lack of power is instability not explosions! If the PSU is modern it will have most of the Wattage/amperage on the +12 volt rail and should work no problem.
Haha ok because I bought this computer new 4 months ago and I don't want to break it yet. I purchased that card a few days ago from newegg and after doing a bit more research on these sort of things I learned a whole lot of things about computers. I guess this is sort of a trial and error experience for me but my fingers are crossed that this card will work