You don't mention what kind of disorder your 13 year old teen has, but I doubt it's legal for doctors to be pushing her to get medical emancipation so she can take drugs with side effects that could be worse than the disorder itself.
If your daughter is suffering from depression, there are many natural cures that will help. Keep in mind that certain herbs have been used for centuries to lift depression, while drugs are relatively new with a long list of side effects and long term effects that are not yet known, particularly when we're talking about giving them to a child whose brain is still developing.
If your child has ADHD, read this article on Lithium Orotate for ADHD which is a natural mineral salt that is a highly effective solution.
You are right to stand up for your daughter. You are her caretaker until she is mature enough to make medical decisions for herself.