Looks likes a loose connection
remove all cables
Insert Only Power Cable into motherboard connector (ITX, IIRC)
If its C2Duo I think another 4 PIN would be plugged in near the CPU,
there were 2 types of Power Connectors in that gen. pc, one which had that Extra connector plugged just next to main Power Connector on Motherboard and one
where a 4 pin was plugged into separate 4 PIN mounted on MB PCB near the Main Processor. This also varies from OEM and non-OEM motherboards.
Once you power only the mother board it should be able to show some display on screen, Make sure atleast Monitor cable and keyboard are connected while you
re-wire everything again.
Do Not connect Drives at this time, Let the PC able to Initialize the BIOS then you can proceed.
if possible post a couple of PIC. of motherboard and a closeup of CPU Area and power connector.
and lastly are sure main CPU Heat-sink is in its place properly and has not come off its location, touch gently and see if its dangling or come off its slot
any extra gap in CPU Heat-sink will trigger a Thermal cut off.