I understand your frustration and worry. It took me so long to get into see the doctor responsible for setting us in the correct direction. It shouldn't be like this.

Phone the department where the referred Child Neuro works at the children's hospital. Ask to speak with a nurse if you can and explain your concerns and situation, esp. regarding the meds.. Sometimes people break their appointments and you may be able to get in much sooner.

Not sure how far away from you this hospital is though.