I love the concept, the art, the music, and your devlog! It's very charming.
However, when I go to play it I can only change settings, start a new game, and listen to/skip the intro. From that point, after clicking New Patient, I can't click anything besides the option to quit my job.
Sometimes Godot forces things to work that don't in browser, I select it's the button that orients you to the left. It's probably something small/easy to fix.
I'm on PC, tested in both Firefox and Edge. Once you figure it out let me know and I will absolutely play it again!