Tried both a full shutdown/startup and a soft restart - didn't fix the problem. I'm unable to delete or move the icon. And it's not an app, it's a safari bookmark saved to the home screen so you can't go to settings to delete it. I'm hesitant to try the Reset Home Screen Layout. Will that only impact the placement of the Apple apps? I take time to arrange my icons, create folders, etc. Will I lose all that and have to start over? I would not want to do that right now.
When you say soft reset, did you:
Press volume up button
Press volume down button
Press and hold side button until phone reboots?
A lot of people call that a hard reset, so just making sure..
If that’s what you did, then it should have already cleared the RAM, but another thing you can try is clearing the RAM while the phone is powered on:
Go to Settings > General > Accessibility > AssistiveTouch and enable it. You’ll see a virtual button appear.
Go back to Settings > General and scroll to the bottom where you’ll see “Shut Down.” Tap that and when you see “slide to power off,” ignore that and tap the virtual button. You’ll see a menu pop up with one of the icons labeled “Home.” Press and hold it until your screen goes black then let go. Your screen will go black, then flash white. You have just cleared the RAM. Once this is done you can go back and disable AssistiveTouch.
If that doesn’t get rid of the Safari home screen bookmark either, you can try a “Reset All Settings” under Settings > General > Reset. This will not erase any of your data or move your apps from where you have them including the ones you have in folders. It will however put all other settings back to factory default including erasing any saved WiFi passwords so you’ll have to go through your settings and reconfigure them to the way you had them and re-enter any WiFi passwords you had as you connect to each of those routers.
It might just be easier to do a “Reset Home Screen Layout” as already suggested, but I don’t know how many apps you have that you’ll have to put back to the way you had them. If you can’t memorize where you have everything, just make a diagram on a piece of paper or whatever.
All else fails, a factory restore will be the only solution.
Toughest part is you never know what’s going to fix the issue until you troubleshoot.
Good luck!