To fix:
1. Start Skype
2. Open Task Manager
3. Kill Skype
4. Start Skype
Skype should now appear in the System Tray.
Sometimes, after you get what you want, you realize, that it wasn't what you needed.
To fix:
1. Start Skype
2. Open Task Manager
3. Kill Skype
4. Start Skype
Skype should now appear in the System Tray.