I installed an RX 9070 XT in my PC while still using an older 550W Cooler Master Bronze power supply. The computer shut down and restarted about five times when I tried launching games, so I stopped using it and ordered an 850W Gold replacement. The system works normally outside of gaming, and I have not noticed any problems. Could those sudden shutdowns have damaged the graphics card, or were they likely the power supply's protection circuitry kicking in?
2 Answers
Before assuming the wattage was the only problem, check that the GPU power connector is fully seated and that the card has adequate airflow. A loose connector or overheating can also cause complete shutdowns. Once the new PSU is installed, connect it with the included cables and monitor temperatures and stability.
A low wattage rating alone does not automatically mean the PSU is dangerous, but the exact model and its condition matter. A good unit should shut down safely; a faulty or poor-quality one could potentially cause other issues. Sudden power loss can also risk corrupted files, so it is sensible not to keep testing games on it.
It is a Cooler Master 550W Bronze, although I do not remember the exact model. I have left the PC unused while waiting for the 850W replacement.

I had similar crashes with a high-power graphics card, and adding case fans plus firmly reseating the power connector fixed them. The PSU may be the cause here, but those checks are worth doing too.