I don't want to see something like this:
Let's say I would like to restrict the search only on applications. Or applications and local files, local documents.
I conside it very dangerous. I have already entered some relatively sensitive data there by mystake. And with that they entered remote logs of some external seach engine.
I think it's powered by Bing. In that case my question can be aslo formulated as how to prevent integration of taskbar search, or start menu search, and Bing.
BingSearchEnabled
andDisableSearchBoxSuggestions
within your registry. What version of Windows 10 are you using? Please edit your question to include this vital necessary information.