Hunt Showdown has been updated to version 1.49 today by Crytek. You can get the complete patch notes for this update from here.
According to Crytek, this patch resolves an issue with the controller sensitivity on consoles. The update is now available on all major consoles so if you were facing this problem, make sure to have the latest patch installed before you can play the game.
Hunt Showdown Update 1.49 Patch Notes
We will be taking the console servers offline at 11:00 am CET to deploy a hotfix to resolve the sensitivity issue on consoles. Estimated downtime will be ~2hours. Please make sure to extract before this time to avoid losing your hunter.