Why I can't install yuzu?

In order for us to provide better support, we need to see the log generated by Citra. This guide will walk you through how you can obtain the log file: How to Upload the Log File.

Go to C:\Users\YOUR_USER_NAME\AppData\Local and delete the yuzu folder. Try the installer again.
Keep in mind that AppData is a hidden folder. A fast way to reach it is writing %localappdata% in the address bar of the file explorer.