I think the “system” is so overburdened that I would take any appointment I could get! Idk if you have more choices.
Overall, try looking for the best fit for you.
Evaluate:
specialty, (for example-eating disorders)
personality,
cost & scheduling.
My knowlege is quite limited. But-
A psychologist can make a diagnosis.
Counselors & Therapists can not.
They all can do talk therapy.
Their education levels are varied.
I hope that helps a little. Let me know what you find.