Hi,
The unlocker is just that, an unlocker. It activates the free app into full state.
The "hide icon" button removes it from the apps "drawer" (list), some people mind having it there (two similar looking icons for essentially one app).
Unfortunately, I can't remove the unlocker's icon from the home screen, and Google Play defaults to adding icons of all apps it installs.
You can remove the unlocker's icon from the home screen (long press and drag to trash), but please keep it installed.
Run the main app, its window title should now be saying "AquaMail Pro" (but its home screen icon or entry in the apps list won't change...).