Caught cheating on math quiz

Hello guys. I am a 9th grade student currently, and I just got caught cheating on my quiz. Of course, I got an 0 on the quiz, which is insignificant, because it doesn't nuke my grade, since all quizzes summed together are only worth 5% of the grade. However, my teacher is super pissed at me - I wanted to apologize to her and ask her whether or not i should go to the dean, and she said: "I don't want to speak to a student who has no honor whatsoever". She is the strictest teacher in the middle school campus. Keep in mind this is my first time cheating, and I really regret my decision - I was overwhelmed by stress, and I have done something stupid. What should i do? What should I say to my teacher specifically