By default Ubuntu has Trash icon showed on desktop , if we want to remove this icon we need install third party tool like Gnome-Tweak-Tool

sudo apt install gnome-tweak-tool

Then we can run below command in terminal to remove Trash icon

gsettings set org.gnome.nautilus.desktop trash-icon-visible false

Now if you wan to check your Trash , you still can access it via file browser.

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If you want to get the Trash icon back to your desktop , you can run below command in your terminal

gsettings set org.gnome.nautilus.desktop trash-icon-visible true