Hello,
Welcome to the Dell Community.
You cannot Delete the Recycle bin icon from the desktop, you will need to disable it from Desktop icon Settings. You can follow the steps mentioned below to disable Recycle bin from your Desktop;
Right click on your empty desktop - select personalize - on the left side of the window select Change Desktop Icons - remove the check mark associated to Recycle bin by clicking on it - click Apply and then OK.
If you would like to enable it anytime in the future, you can follow the same steps and put a check mark on Recycle bin.
-Niranjan