q6600 question .

The DQ"965" means it's a 965 chipset board. It has 4 phase VRM so it proboaly supports 130W CPUs, But that's PentiumD CPUs.
https://www.cnet.com/products/intel-desktop-board-dq965co-motherboard-microbtx-lga775-socket-q965-series/specs/
I couldn't find a CPU list for that exact revision of the board. For the DQ965C0 they only list E6700. With BIOS support that board could run up to the QX6800 as it's very similsr to the board in my Dell E520 (see my sig.)
The bad news is people are selling it as a Micro ATX, but the twisted CPU socket, the parallel RAM and expansion slots make it a Micro BTX. You will need a BTX case, and BTX coolers to run it. BTX isn't bad in and of itself but there's no aftermarket support for it. It's a whole separate ball game, and generally you would want a whole BTX computer to start with. As far as I can tell it won't support that CPU. It definitely could, but not if they didn't update the BIOS for it. Looks like an orphan to me.