Yeah - should be fine - it’s just a ground wire for the plate by the look. Just make sure that wire is out of the way and can’t short anything out. However this is where you need to get yourself some test gear - signal generator and scope - and start with injecting some signal and probing the path from the back plate assembly with a scope - there’s not much there but there could be a break in the wiring from the back bracket sub assembly XLR to the board with R1 to R5 and L1 and L2 or from that board to the transformer (the transformer needs to be checked for continuity on both input and output), then mic/line switch and wiring, if the switch is open circuit = no sound - the switch centre pole is a good place to inject signal. You can’t go much further without the basic gear and also a soldering iron or the assistance of someone with the gear and ability to trace the schematics. If you have the knowledge and basic skills yourself and can get the gear to do it yourself it costs less to buy the test and service basics than paying a tech for an outcall that is costing by the hour. Have you checked your extender cable on another channel card or tried this board back in the desk without the extender? If not I’d do so.