Since it does not have a PCIE power connection, the most a HD6670 can possibly draw is 75W. If you have a 95W CPU, that's 170W. Add a few drives and fans, and you might break 200. Mind you, that's running flat out, like benchmarking. In actual use, your power usage will be less.
GPU vendors overstate their requirements in the often vain attempt to account for all the PSU-shaped objects out there, like Diablotek, Logisys, and Apevia. You should be fine.