No the CPU will not be a problem at all.
Ok it might be a slight bottle neck but not much of one, most games are dependent on GPU not CPU and I can tel you now that I've not really noticed much differnce swapping from a 3ghz Pentium D to a e6600 C2D overclocked to 3ghz.
PSU should be fine, although it is a power hungery cpu, that's a decent PSU and should have enough power.
The only problem I can see you having might be from the motherboard.
There is a problem with some older motherboards & BIOS's that can fail to detect a PCI-e 2.0 card.
To elaborate, there's a flag in the Graphics card BIOS that says it's version 2.0 that cause the problem.
However this incompatibility is
rare at the moement and you're fine with the Abit AW8D, might be an idea to update the BIOS just incase.
If it does occure and a motherboard BIOS update does not fix it then there is another solution, but it's a little more complex and requires another pc that will work with the card.
Basically you need to flash the graphics card BIOS with a version with the pci-e flag set to 1.0 (and that is all pci-e 2.0 currently is
btw a bios setting)
However the problem can be getting hold of said graphics card BIOS.