If the hd7570 is OEM with gddr3 it is an entry level card with TDP of 39w and recommended psu of 200w. 7010 is more than capable of handling it. comparison of 7570 gddr3 vs gddr5.  
I would like to buy an HD 7570 for my Optiplex 7010 DT but the recommended PSU is around 400 while the PSU of the Optiplex 7010 is 240 to my knowledge, despite this in the list of recommended GPUs for my PC there is still the HD 7570. So I can buy it or not?
HD 7570 on an Optiplex 7010 DT