Is autism only diagnosed by a psychologist?

I have been diagnosed twice with autism, once in 2024 by a PMHNP (psychiatric mental-health nurse practitioner) who used to prescribe me my medications. No testing was given, just a report. I wanted a more thorough diagnosis so I got evaluated again by a CWSA (clinical social work associate) who tested me with the MIGDAS-2 and other questionnaires. The CSWA was overseen by a supervisor who was a LCSW (licensed clinical social worker.) I have seen some people say it has to be a psychologist. But I have not been able to find any psychologists who took my insurance. Are my diagnoses okay or do I need to find a psychologist?