Quasar attempts to intervene since he's had more experience with her than most and he is the only Avenger capable of catching her. She at first disregards Quasar as he has no power of his own, it emanates from his wrist-weapons. She only decides that he is a worthy potential mate when he displays impressive control of his power and resourcfulness in catching Her, also a great deal of honor when he defends her against a jealous Moondragon and a mind-controlled Jack of Hearts. When every other person she attached a cocoon to attempts to either remove or otherwise destroy their cocoon, she chooses Quasar as he has shown that all life is important to him.
As a compromise to Quasar, Her removes the cocoon but decides that her destiny lies with him.