Just be careful about appealing this, depending upon the standing the professor has with her colleagues, it could cause you trouble or additional scrutiny in later semesters. That being said, it's not out of the realm of possibilities for you to appeal this. Though I would caution you that she very well could have documentation that she discussed that particular quiz with the other instructors there and determined that the question or two that she initially said would be thrown out shouldn't be. I would also suggest looking into whatever readmission process they have to hopefully allow you to re-enroll in the program and retake the failed semester. If they allow you to, your best bet is to figure out why
you ended up failing by so close an amount whereas your classmates passed. Nursing schools
are going to be notoriously strict in their grading policies.... rarely will they round-up anything. In any event, once you figure out how you study best/most efficiently, use that so you can pass the program with as high grades as you can manage.
A classmate of mine failed out by a similar margin, was readmitted and he's been a nurse for just over 3 years now. I failed out, was on the bubble a least once and I figured out my own issues, and was readmitted. In the process I went from a student that the professors were concerned about to a student that the professors never had to worry about, indeed occasionally pointing me out as an example of what a successful student is.
Best of luck!