Left Avonwick, got robbed, rested a few days, tried salvage some parts from a broken wagon, got my hand crushed, rested a few days, and when I clicked "continue," the screen refreshed but nothing changed. Day count remained at 36. Resting would increase the day count, and after a taking medicine and resting for two additional days, the "Continue" button worked as expected.
I can't tell if this is working as expected (player character too injured to travel) or if this is a bug. If it is intentional. I would recommend signposting it more clearly.