The most likely outcome if the mountain lion population vanishes is that the deer population will increase.
Without the mountain lions to keep their numbers in check, the deer population would likely grow due to a lack of natural predators. This increase in the deer population could lead to overgrazing of willows, which would negatively affect the habitat for the mountain trout and potentially lead to a decrease in their population as well. However, the immediate and most direct consequence would be the increase in the deer population.