Its very sneaky to say about "EAT", even Google itself does not know how they measure it (yeah John Muller seems does not know the exact way how Google measure EAT of a website), but he indeed say, a website does not necessarily need author profile because a user may try to figure it out, look, how sneaky they are.
Even big health websites like DrAxe and some others got hit hard in that update, you are not along. I would say you can try to improve your website authority at a whole level, write more quality contents, link to authority sites, medical papers, give more exposures of your doctor bio to your users, get more strong links.
To be honest, it seemed like go back to the start point again, get more quality links and you win. The update pushed more authority sites thus leave less places for normal ones like yours.