From 13th Century, but Nishi-Hongan-ji was moved once and various parts of it were rebuilt through the 16th Century.
This is not one of the bigger buildings on site. Can you imagine having to approach this past all the guards, then once inside having to traverse the huge hall to have your audience with the Shogun?
If you were a scrawny little monkey-faced Shogun like Hideyoshi, you would certainly position yourself at the back of the room, to make your subjects humble themselves.