Laptop Wireless Card Wire Reconnect

I had received a broken laptop that had several issues with it. The screen was destroyed, ram messed up/taken, and among other things the wires had been ripped of the connectors for the wireless card, apparently as the screen had been attempted to be removed.

They are really small. The wires are there, but I'm not sure how to reconnect them to the connectors.

You can see the connector here on the left male connector. One still has a bit of wire left on it so I might be able to just solder them together, but how do I get the wire on the other connector?

I replaced the screen and ram among others and everything works fine now. The wireless card works fine, but the reception is short as the cable isn't attached. I could buy a new cable for 5$ but I'd have to rip the display apart again to put the new wires in. ugghh.