that means under the care of a physician (ideally a psychiatrist), it certainly would not be against the word of wisdom.
As it currently stands, there are not any FDA approved psychedelics (e.g. LSD, psilocybin, DMT, etc.) for treatment of mental disorders (though there are several that are being investigated). FDA approval isn't the only factor within the realm of psychiatry. Medications are frequently used "off-label" (i.e. a purpose different from an FDA indication). Ketamine infusions as a treatment for depression is actually an example of this- there is no FDA indication for racemic ketamine administered intravenously as a treatment for depression or any other mental disorder (there is Spravato, which is a single enantiomer administered through a different route, at different doses which is FDA approved for Depression, but it is not the same thing exactly).
I am hopeful that there is some approval soon from FDA, DEA, etc. for psychedelics and similar therapies (e.g. MDMA), but I worry that there will be attempts to utilize these therapies well-beyond where they are intended or useful and into territory where they may cause patients harm. Already people are using there own brains/bodies an (uncontrolled) "experiment" with these substances, without medical guidance or actual therapy and certainly not always with positive results.