First disable it, then uninstall the Cortana app.
Disable it in the search settings:
1> Click the search icon/box in the bottom left
2> click the gear on the left bar
3> Click off next to Cortana/Web Searches
submitted by SleepinYeti
- Open Task Manager and have it show More details. Right click on Cortana and select Open file location.
- Now find the Cortana folder, right click it, and select Rename. I would recommend just adding ".bak" to the end of the folder name so you can find it easily if you want to restore it back to it's original status. If you attempt to rename, it will tell you that the folder is in use.
- This is when you want to go back to Task Manager, right click on Cortana, and select End task.
- Right after the task ends, switch back to the Folder In Use
window and click Try Again. The folder should be renamed and the Cortana
task will not start again.
Source: https://superuser.com/questions/949569/can-i-completely-disable-cortana-on-windows-10
https://www.reddit.com/r/Windows10/comments/3fo738/how_to_completely_remove_cortana_background/