Hello, my name isXXXXX and I have over 20 years of experience as a veterinarian.
I am so sorry to hear that your dog was exposed to tea tree oil. Her symptoms do sound like a toxic reaction as the terpenes in the oil cause central nervous system depression, leading to weakness, muscle tremors, incoordination and mental dullness and depression. In some cases it can be depressing enough to the central nervous system to lead to death.
I know that you have rinsed her but these are fat soluble compounds and they need degreasing agents to be effectively removed. I recommend bathing her with Dawn dishwashing soap to remove as much as possible.
There is no antidote to tea tree oil toxicity, we simply need to remove as much of the toxin as possible and then rely on supportive care while the toxins wear off.
I recommend that you watch her closely tonight after bathing her. If she becomes more depressed and her symptoms are worsening even with removing the toxin then she should be admitted to a veterinary emergency hospital for intravenous fluids to flush out the toxin, warming and support.
Best of luck with your girl, please let me know if you have any further questions.