In your bios are you sure you haven't set some sort of fan control option? It seems strange that it could still spin, but stops. If it really is the fan, while you're waiting for your new one, keep your computer in a cool place, maybe have it next to a fan or better yet, an AC. Check the temps (I'm guessing your bios have temp readings) regularly and make sure they don't go over 75C or so. Although a GPU can handle really high temps into the 100's C (not recommendable), a CPU should run much cooler than that.