I'd probably pick consultant, because it's the knowledge being tapped, rather than a patient being seen. YMMV, I could make a case the other way as well. However, since both are SE income, in the long run it doesn't matter.
FWIW, I have had plenty of psychologist/therapist tax clients whose 1099s from insurance companies have, in the same year, run the gamut between medical, consulting, and "other" income. We put it all on their Sch C, since that's where it all belongs. Never a question.