Super glue should hold the pieces together if you can hold it together in the right position while the glue sets up. Maybe use some needle nosed pliers?
Oh so it can be soldered? Fantastic. That makes life easy. Thank you very much.Superglue or epoxy. Then solder the braided wire back on.
If you wind up super-gluing your finger to something then just twist it at the joint and it will come apart. Cyanoacrylate glue is very strong for tension, but very weak for lateral.