Biggles
I think the rudder failure incident was covered in Brian Calvert's book, "Flying Concorde".
IIRC, after the rudder failed and separated the first indication of a problem was during deceleration, a light buffet or buzzing sensation was detected by the flight crew. There was no indication of the problem other than this.
The crew was informed of the problem by the tower during their landing, but I don't remember whether this was during the approach or once on the runway.