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I think your teacher's opinion of executing paintings at a breakneck speed has value - there's a lot of lessons to be learned in that method, lessons that touch the pragmatic, the intellectual, and the analytical forces one has to contend with in producing art.
It is very important that you be open mentally to accept her method of teaching you (no fair faking it either). That said, obviously this particular canvas is one where you want to do reach a new plateau and bring it to a point where you can feel you've progressed. As your teacher she should recognize that you are a student asking to learn how to self critique (which is a must for an artist at work), and she should help show you how to do that on this painting.
As you are more concerned with learning than the grade you'll receive, I'd re-approach her and state just that - you may jeopardize your grade but on this piece you want to take this as opportunity to learn from her how to analyze and work through a painting's problems. I think as your teacher she has to respect that and support you.
Ironically, making your students drown in assignments can also be a clever way for a teacher to avoid actually teaching.
Regardless of her motives, stand up for your opinion and don't let her brush you off. You should either convince her to help you in the way you see it on this one, or allow her to convince you of the reasons behind why you should move on to the next painting (oh, and for sure I know that "fix it on the next one" is not an acceptable explanation)
Hope this helps.
Good luck
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