When I find myself in an internal struggle between evidence and a formerly firmly held belief, the belief must be revisited. If it can't stand up, it must go.
The age of the universe and evolution are two science-based notions that I have had to accept. The first, because of the measurable distance from the stars based on the constant, the speed of light.
Having evolution as part of my worldview has opened up for me the power of our mountains here. Age after age can be read like a book from the layers of sediment. I am just beginning to learn that language, and what a story it tells!