The 2d SS Panzer Division, "DAS REICH", was not fleeing invading Allies [ Anvil-Dragoon took place later]. They had been hunting the Maquis in the Central Massif, when they were ordered to Normandy. A Company Commander from the "DER FUEHRER" regiment was captured and [presumably] killed. The Ouradur massacre was a result of that action, and was also a warning for the Maquis to get out of the way.
In a twist of fate, many of the SS troops involved were from Alsace-Lorraine.