I am not personally familiar with Wyoming's specific concussion protocol, but having worked with the concussion protocols at a few NCAA institutions, I can speak at to what it probably looks like.
An athlete exhibiting concussion-like symptoms (or one that lost consciousness from contact) will have to see the team's primary care physician to be diagnosed with a concussion. At this point, the physician may provide care or refer the athlete to a specialist such as a neuropsychologist. This individual would be the person "in charge" of his treatment moving forward in conjunction with the head team physician and the athletic training staff.
In order to be cleared, the athlete will have to meet a set list of criteria.
First, they will need to completely symptom-free before they can begin any return-to-play progression. This means, everything is on hold as long as the athlete has: headache, nausea, sensitivity to light and/or sound, confusion, dizziness, difficulty concentrating, nervousness, anxiety, etc.
Once the athlete is symptom free, they will most likely need to pass a concussion-specific cognitive functioning test such as the Impact software. They used this when I was at UW, so my guess is they still do. This test takes about 30 minutes to complete and tests the athlete's reaction time, short-term memory, impulse control, visual motor speed and other cognitive function. At this point they will need to be cleared by the team physician and/or specialist in order to move on to return-to-play progression.
This final stage will consist of slowly increasing the intensity of exercise over a 3-10 day period to ensure that the athlete does not have a relapse in any symptoms and that they can return to full play without complication.
Once they have completed all of this, they will be cleared to return to play by the physician and/or specialist.