Maybe in some of particular scenario, we found that the user wanted to manage user profile alone without using Farm Administrator Account and to keep the user with a minimal security access.
That way, we can configure User Profile Service Application to have particular user granted as User Profile Manager. So they can go to Central Administration website without touching other configuration.
How we can do this?
Go to the Central Administration Website, and navigate to Manage service applications.
Click the User Profile Service Application (without clicking its link, only the zone).
Add the desired user, click on it, and set the permission. Finally, click OK.
So, when they navigate to Central Administration website, they will only see link to User Profile Service Application, and they can’t touch any configurations beyond that.
Done, and hope it helps.