Final answer:
Medea refers to actions that would cause the greatest emotional pain to her husband Jason, which involves the murder of their children and his new bride as part of her revenge for his betrayal.
Step-by-step explanation:
When Medea refers to "to wound my husband most deeply," she is speaking about the actions she will take to cause the greatest possible pain to Jason, her husband who has wronged her. Central to the plot of Euripides' play, Medea, is her revenge for Jason's betrayal, which includes a calculated sequence of events, culminating in the murder of their own children and Jason's new bride. This ultimate act of retribution is Medea's way of inflicting the deepest emotional suffering upon Jason, as she values this more than any physical harm she could do to him.
The story of Medea touches on themes of revenge, passion, and the extremes to which a person may go when wronged. The degree of premeditation and rationality behind Medea's actions shows a character driven not only by emotion but by a chillingly calculated intent. Her vengeance is a reflection of the intense personal violation she feels, as she turns her intellect to the task of devising the most effective method of punishing Jason - by destroying what he loves most.