If I’m the only one who’s done this I’ll withdraw the request, but:
I have accidentally retitled a LOT of my notes by typing a search term when I think the cursor’s in the search box.
I don’t have a specific solution in mind, but here are some thoughts, in order of personal preference:
Consider moving the search box to the upper right hand corner of the page.
Consider a confirmation when someone changes the title of a note (“Are you sure you want to rename this note? - [ ] Yes, rename - [ ] No, search for this topic instead”)
Place a strong, brightly-colored border around the search box.