How can the door of an Indesit IWDC 6105 be opened when the internal door lock has burned?
At this point, since the part is plastic and the wires burnt to a crisp, I'd go in there with a screwdriver  and break the lock off the frame and see if that frees up the door.  It looks like you'll need part of the wiring harness along with the lock mechanism  to repair it.