Most Psychiatrists or PCP's are booked a few weeks out. You may not be able to find someone right away, but you have a few options for getting your medication while you wait for an appointment with any one of them.
If you have refills left from your old pharmacy - they can transfer those to a pharmacy in your area.
Or, you can call your old doctor and ask for a refill until you get in to see a new doctor - most doctors understand this and will write for a few weeks/months worth of meds while you find a new doctor.
Having your meds is the priority - so try those options while you continue your search for a new doctor.