Thanks for this very useful tool.
It would be more user-friendly to have a simple button "Add link" next to the results list. It is possible to edit pages on behalf of the user using OAuth (retrieve user token, then use this token to send the edit to wiki server).
https://www.mediawiki.org/wiki/OAuth/For_Developers

There is already a reference to this in codebase, but I guess it was just testing until now.