In normal circumstances…
A resident doctor wanting to contend with the attending physician has slim hopes of success.
Within the rules of Hospital 444, there isn't any prohibition against violence or even killing among doctors. Therefore, the order among doctors is entirely maintained by the balance between the three major factions of the hospital.
If the person bore a grudge against Dai Lin because of the last magic show and wanted to kill him to vent their anger, then Blue Island was indeed an excellent place. They could murder him and perfectly frame it on a ghost. And what if it was uncovered? Not even the deputy director had the authority to discipline doctors from the Demons Department, only the director and the Director of the Demons Department had that right.
At least Dai Lin really didn't believe that the person truly had good intentions to support him. Additionally, the person was subtly using his family to threaten him.