Whoever wins will have their work cut out.
When May signed the extension, there was a clause to say the Withdrawal Agreement could not be renegotiated. I'm assuming that is until the end of the extension. Anyway, whoever takes on the Conservative leadership has been stitched up like a kipper before they even begin.
The EU can just say no to renegotiation and the Remainer Parliament will prevent a No Deal WTO Brexit.
There is no leverage for any EU renegotiation... unless a WTO Brexit is on the table, and Parliament will use every mechanism to stop that leverage.
There will either be a second referendum or a general election, probably before the end of the year. The first being the more likely. Conservatives would be wiped out in a General Election... and the threat of that would likely stop them trying to push the WTO Brexit option to the brink.
Despite what Labour are saying publically, I would seriously doubt they want a general election right now either, but they'll still use it as enough leverage.
In the event of a General Election, we could see some very unpredictable results. If the European election voting patterns were repeated, then the Brexit Party would win with a majority of 226. This isn't going to happen either, but I think they could make some pretty significant inroads into Labour and Conservative seats - especially as the Remain vote is split across parties.
What I think we'll see, in reality, is a second referendum. I suspected this early on after Brexit. All guns - the establishment, media and politicians will be all out to take out Farage. It'll be a concerted campaign and Remain will likely win 55/45.
Part of me thinks this has been orchestrated with "inside help". We've seen party leaders, civil servants, ex-Prime Ministers flying back and forth to Brussels to prevent this vote being carried all along.