What is the description/significance of the ending Nathaniel Hawthorne's "Rappaccini's Daughter"?

Beatrice retorts to her father that she would rather have been loved than feared. As she sinks to the ground, she reminds Giovanni of his hateful words, and asks him, “was there not, from the first, more poison in thy nature than in mine?” The poison in her body had become part of her life; the antidote succeeded not in saving her but in killing her. Baglioni, looking forth from the window, is both triumphant for finally defeating Rappaccini at his own game – but also horrified at the result.