Your card will work but depending on how small the power supply and brand, also on what GPU. If the PSU is slightly to small for the system in most cases it will work ok but you are running the PSU at near maximum all the time when gaming ect which is bad for the PSU. If the machine is underpowered when its at full throttle (running an intensive game or benchmark test) then a few things could happen. Your machine will not run at full potential (best case scenario), your machine will become unstable and may cause random things to happen crashing ect, you overwork the power supply and burn it out (cheap PSU's burn out faster when over 80% load), you overwork the PSU and it blows taking out components in your machine (this is worst case...