One other point to consider. A few staff members did try to find her immediately, but that hardly qualifies as an organized search. SAR didn't arrive for 2 and a half hours, I believe, and even then it took some time to organize and they only had a vague idea which was she started out (north). The snow started to fall, the temperatures dropped to 0 or below, and that made conditions in the area very trecherous, even for the searchers. They had limited resources and everything working against them. She was not in winter wear. So it is not inconceivable that she succombed within a fairly short period of time. By the time they got more searchers there the next day, because of the snow and the 0 degree temps, she could easily have been snow covered and in a place not easily seen. And the weather just kept getting worse.
In those conditions, it would have been amazing if they DID find her quickly.
The only way the staff would have found her right away is if she wanted to be found. There were no tracks to follow.