This is a really tough one to solve. This kind of connector is designed to be "crimped" onto the wires with a special tool. As part of the crimping, the connector pierces the insulation and makes an excellent connection. It looks like your wire broke either at the crimp point or at the place where the wire enteres the connector.
If you're under warranty, your best bet is to send the camera back and suffer without it for a while.
If you don't have warranty, there's less to lose by trying to disassemble the connector. If you can get it apart, you might be able to reinsert the (now shorter) wire and put it all back together, applying pressure with a vise to make the connector pierce the insulation. But the probability of failure is high. At that point, you'd be back in the "send it in for repairs" boat.
A fundamental part of the problem, which can be seen in your photo, is that the wire isn't long enough any more. What really needs to happen is that the entire wire bundle should be replaced with a new one, and a new connector crimped on.
Bummer.