It may be that you inadvertently removed the icon from your home screen. Android does not require all app icons to be on a home screen and uses the "app drawer" which will always show you every app installed on the device.
You should be able to find the dialer in there, and if you want to put an icon on your home screen you can hold your finger down on the icon and then drag it onto the home screen.
The app drawer icon should look similar to one of the two below circled in red:
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