But looking for one piece of evidence that could have disproved the initial hypothesis would have prevented this, and not be such a time-waster. Just perform a simple test that's checking whether the patient is really drunk, for example: "Does their breath smell like alcohol?" Just a quick glance into the dark would've been enough here.
I would recommend the even simpler test of asking the patient how much they've been drinking.
I wouldn't be surprised if the reason the patient made it through triage to get the attention of the doctor is that the nurse had ruled out drunkenness.
Yesterday in medical school, we had a lecture on common mistakes doctors make. I saw this slide:
Attribution Errors
Confirmation Bias
Commission Bias
Omission Bias
Anchoring