Remote for Windows app is helper tool that enables apps on your iPhone or iPad to control your Windows computer remotely.
Remote for Windows
Remote for Windows helper app uses Apple Bonjour for automatic discovery of computers on your network. If you don't have Apple Bonjour installed on your system you can download it from here: https://support.apple.com/kb/DL999?locale=en_US
You can use this to change how this computer is called in the iOS app
Ask to grant access for unknown iOS devices
Enabling this option will ask you every time new device tries to connect to your Mac if you want to allow or deny it's access
Advertise via Bonjour protocol
Disabling this will prevent the app to announce itself on your network, and will prevent automatic detection of this computer by iOS devices. Use QR code for initial connection, and them you can use History in the iOS app to re-connect (requires Internet connectivity).
This list shows all devices that tried to connect to your Windows computer, date showing latest connection. Here you can change device authorization status and toggle between to Allow or Deny it's access using the checkbox on the left.
Installing on Windows 10
Installing helper app on your Windows 10 computer, will require you to allow the app to make changes to your device... If you ask yourself "what changes"? I don't know either. Basically it's badly worded prompt to install the app with administrator privileges, which are required for simulating input (keyboard/mouse) to work with other apps installed with administrator privileges.