Final answer:
The text provided does not directly answer what Auð the Deep-Minded did upon hearing of Thorstein the Red's death, but she is known for migrating to Iceland and becoming a respected leader post her son's demise.
Step-by-step explanation:
The question seems to be about Auð the Deep-Minded, but the text provided does not directly answer what she did upon hearing of Thorstein the Red's death. Auð the Deep-Minded is a historical figure from the Viking Age, recognized for her independent action after the death of her son, Thorstein.
She is known to have managed her own migration to Iceland, where she established herself as a respected leader, distributing land to her followers. Without the direct context of her reaction to Thorstein's death in the provided text, an accurate and detailed conclusion cannot be made.