Dolan is not participating in the inauguration in his ontological splendor. Dolan is going to play the role of "lectoress." He's going to piously read a snippet of Scripture, just like corpulent, short-grey-haired, Catholic women in polyester pantsuits do in suburban Catholic parishes every week.

The priestly office of offering a prayer for the newly elected head of state falls to Pastor Paula White. Dolan is going to meekly bow his head and fold his hands while a divorced! Protestant!! woman!!! prays. 

It'll be hilarious. Don't be surprised if he genuflects when she offers him her hand, out of sheer habit.