Good question, Elizabeth. And I'll answer it here for you since you left no contact info and I simply must answer such a great question.
Zutara is a ship (a romantic pairing), more specifically it is Zuko/Katara. I do not support Zutara and I rarely enjoy reading Zutara - only a damn good fic author can get me to read it in their story. Sadly for me Zutara is very popular in this fandom.
And now you know.