The answer to the question depends on the specifics of the situation. It is quite possible that you could do the job if the aircraft is suitably equipped and you can carry holding or alternate fuel if required. The outcome for the patient is irrelevant, and has zero bearing on the decision to go or not. The attitude maintained by the crew needs to be that we will go if we can do so safely and legally. If not, there are always alternatives. The employer would be looking for your knowledge of the rules, ability to apply them and whether or not your attitude is suitable - not too far left or right of centre. Bad weather is not a barrier, just an important consideration.