The Rokujō Lady's final request shows that she's one of the only women who understands what happens when a woman becomes involved with Genji: it leads to jealousy, neglect, and unhappiness for all parties. Her final hope is to be able to save her daughter from the fate that she herself suffered, illustrating again the power of the bond between mothers and their children. When Genji accepts these terms, it implies that he's now willing to respect the Rokujō Lady.