i cannot open the case
but i think it has 6pin power connectors.
Without knowing the make and model of the psu. I can't tell you if its has enough to power the card and if it will power it reliably. If you can't open the case how did you plan on installing the card?
If you're going to use your local shop to honor your warranty, I suggest you talk to them when you buy the card and get a psu that they will cover under your warranty.