Oradour-sur-Glane is a long way from there. It’s way across France. The SS in that area was trying to reach Normandy.
Right. The 1st SS Panzer Division (”Das Reich”) was held in reserve to respond to an attack on the coast, regardless of where on the coast it occurred. They were dispersed back a couple hundred miles to avoid air attacks. They had a train with flat cars and locomotives ready to transport them to Normandy. The French Resistance, on orders from Allied Command who were reading Enigma intercepts and knew of the plans, had infiltrated the railyard and sabotaged the trains after the landings. Along the route, rail lines were blown up. They had to make the journey, that should have taken a day by train, by road, foraging for fuel and under sniper fire the entire way.
Several massacres occurred before they got to Normandy, too late to prevent the landings from succeeding.