As has been mentioned in the comments on your question (e.g., by AncientSwordRage's Meta.SE link), it's not possibly to dynamically query the data explorer.
It's also not possible to embed runnable code in answers; in principle it looks as though Stack Snippets can be used to query the API, but of course we don't have Stack Snippets enabled, nor do we really need it to be.
Your last recourse, if you're technically-minded, would be an external application that hits the StackExchange API. In principle it wouldn't be difficult to write an application that polls the API for changes, and edits an answer if it finds any1; no manual intervention required. This would actually have the advantage of bring significantly more up-to-date than the Data Explorer, which only updates weekly (while the API is more-or-less realtime, I believe).
There are some complications around doing this for this specific use-case, though; because
/answers doesn't allow sorting by
downvote_count, you'd have to get all answers on the site and sort them in the application, which may run into rate limiting problems2.
However, it might be easier to simply link to the query in your answer, and add an accuracy disclaimer.
1 Credit where it's due; this was suggested in comments on the question by Cahir Mawr Dyffryn æp Ceallach and FryAmTheEggman
2 The reason for this is that the API paginates large results; you can only get up to 100 results at a time, so you'd have to make something on the order of 700 requests to get all of the answers. This isn't insurmountable - with an access token, which you'd need in order to edit an answer, you're limited to 10,000 requests per day - it's an extra layer of complication