Is that in the display?
The part is labeled U6, so I would assume it used to be an integrated circuit or transistor. It may have fried due to a short in something downstream. Maybe not.
With most of these systems, the display unit switches the power to the controller logic, so there may be a way to make it power up without the display, but you'd be stuck with whatever the default settings are when you turn it on. Changing most of the settings requires a serial data command from the display to the controller.
In looking at the picture closely, it seems like the fried part was switching the two end wires on P5 (follow the traces). I'd guess this is what switches the logic power to the controller. It may be possible to use a mechanical switch to turn on the controller by connecting the two end wires. Of course this could also result in a big spark and some smoke if something downstream is shorted. You might try shorting the two end wires to see if the thing powers up.
"One test is worth a thousand opinions"