The RX 560 with the Core 2 Duo shouldn't be a problem. There might be a slight bottleneck due to the older CPU being a bit slow to send the rendering data to the GPU, but it will work.
Note that the above only verifies a Core 2 Duo working with a RX GPU. The rest will come down to what connectors your PSU and GPU has, whether the case has the space and a Pci-Ex slot for a GPU, and the PSU also needs to be at least 350w with 18 amps.
The RX 560 with the Core 2 Duo shouldn't be a problem. There might be a slight bottleneck due to the older CPU being a bit slow to send the rendering data to the GPU, but it will work.
Note that the above only verifies a Core 2 Duo working with a RX GPU. The rest will come down to what connectors your PSU and GPU has, whether the case has the space and a Pci-Ex slot for a GPU, and the PSU also needs to be at least 350w with 18 amps.