Sounds like you've taken the appropriate first steps by talking to the teacher, the counselor, etc. It's definitely time to talk to the principal. It's very, very rare that administrators agree to moving a child mid-year - but ultimately, if you're not for your kid - who will be? You have to go about this is a very non-accusatory way. You want the best for your child, your child is getting physically ill regarding the teacher's approach. Trust me, the administrators and the other teachers know which other teachers are the bad teachers, the screamers, etc.
(Keep in mind this teacher may not have always been like this but for all you know she is dealing with a tough personal situation like her own serious illness, a very sick parent or spouse, a grown child with a drug problem or a mental illness, etc. She may be under a lot of stress and her threshold for stress has plummeted. So she may have always been an OK teacher in the past but this year she's just in a bad way.) Regardless, in any event, your child should not have to be sick as a result.
As another mama suggested, write it down, make bullets, practice like you're giving a speech. Don't make accusation but do give examples. Don't "threaten" but tell them you are considering home schooling if your child continues to feel sick.
Finally before all of this examine your and your child's emptions carefully. As the mom of a child who struggles with interpreting cues and interpersonal interaction, I've learned that the possibilty exists that your child may be at a tough developmental stage and could feel this way with a new, different teacher too. Imagine the stress if she does get moved and then runs into a similar problem with the new teacher? My son was convinced his 4th grade teacher HATED him. Almost daily, he told me how she yelled all the time, embaressed kids in front of everyone, etc. When I mentioned some of these things to the special ed teacher who was often in her room she could not understand what my son was seeing. Two years later the 4th grade teacher invited all of her prior 4th grade class to a beach party since they ahd been her final class before she retired. She told me how very fond she had been of my son and how she pushed him to perform because she knew he was capable of so much more. He learned so much that year and really grew a lot - he would have missed that with another teacher. His perception of the situation was off-kilter and I'm glad I didn't push to move him but instead helped him with coping skills and helped him to learn how to deal with people who don't always "mesh" with his personality. It was one of many life lessons.
Ultimately, however, you're a tax-payer and you are entitled to have a non-hostile learning environment for your child. Pray about it and then move with soft words. Soft words can be VERY powerful. Good luck mama!
