The Skype app included in Windows 10 now has an icon for the message area. It's good, but you can't just right-click the Skype Tray icon and close it as a regular desktop app. Skype does not give you an "exit" option.
Microsoft's modern Skype app doesn't even appear in the launcher list, so you can't disable it by managing the startup programs from the setup app or task manager.
However, you can hide the icon from the Skype settings window. Right-click the Skype icon in your message field and click "Settings" or open the Skype window, click the "…" menu and click "Settings."
Click on the General tab and disable "View Skype in the Windows Notification Area (system tray)" option. Skype's registration area icon will disappear.
Please note that people may still send you Skype messages if you are logged in, even if Skype is not displayed in the notification area. To stop it, sign out from Skype. Click on the "…" menu in the Skype window and click "Sign out" to do so.
If you do not want to use Skype at all, you can also uninstall it. Locate the Skype shortcut in your Start menu, right-click it and select "Uninstall." With Windows 10, you can uninstall many other built-in apps the same way.
If you have several Skype applications installed and you just want to remove the built-in Windows 10 version, look for the Skype shortcut marked as a "Trusted Microsoft Store app" and remove it.
The traditional Skype desktop application has an "Exit Skype" option available when you right-click the notification bar icon. The version of Skype works like the traditional Skype client you are used to.
This is pretty confusing because the built-in store version of Skype and the modern desktop version are almost the same, but the desktop version of Skype offers
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