In The Lady or the Tiger Why would the princess send her lover to the lady?

The princess is torn between her love for the courtier and her jealousy towards the lady. She knows that if she sends him to the lady, he will most likely choose to marry her and the thought of him being with someone else pains her. However, she also cannot bear the thought of him being torn to pieces by the tiger if she were to choose the other door. Ultimately, she decides to send him to the lady as a way to both save his life and punish him for potentially betraying her.