All the solutions I have seen for being able to edit the Safe Search Quick Links seem to apply to Google Chrome. I recently had to replace my computer, and Microsoft Edge is the very pushy and ever present operating system or whatever you call it. So, while on my old computer I could change my quick links in Chrome, I cannot in Microsoft Edge. I right click the existing links, no matter what row they are on, and I definitely do not get the option to edit or delete any of them.
If there is no solution for Edge users right now, please hurry to provide one, as it is quite disconcerting to look at half a dozen links that I have no association with whatsoever.