This is not a great photograph, as I only happened to notice the church in the forefront, which I otherwise had missed, when looking out a hotel window. It wasn't until I viewed the photograph that I realized there were two churches in the photo.
The near church is St. Elizabeth of Hungary Roman Catholic Church in downtown Denver. It borders the university, and was built between 1898 and 1902. It was originally a church that was the Roman Catholic church for German Catholics in Denver. It's built in the Romanesque style.
A church which is slightly deeper in the photograph, to the right of St. Elizabeth's, is St. Cajetan's Roman Catholic Church. This church was built in 1924 to serve the Hispanic community of Denver, replacing an older church also by that name. It is a Gothic architecture church.