If I were Quirrell, and I wanted Hermione out of Hogwarts, and Dumbledore has warded her against magic, and I failed to convince her to leave, what would I try next?
I would identify those people who have the most influence over her, and attempt to convince them to convince her to leave. Who have we seen to have influence over her? By “influence”, I mean that she respects them or might for some reason listen to them. Harry, Dumbledore, McGonagall, Flitwick, Mandy, her parents.
Quirrell likely won’t be able to (or won’t attempt to) talk Dumbledore, McGonagall, or Flitwick into persuading Hermione to leave. He can put pressure on Harry. Putting pressure on Mandy (either with mind magic or just psychology) might also be effective. Some interrogation techniques involve prolonged deprivation followed by small kindnesses. If everyone hates Hermione, a single friendly face could persuade her to do what she otherwise might not.
He could arrange for Hermione’s parents to learn of the events. As McGonagall points out in ch 84, and as Hermione later thinks to herself during her chat with Quirrell, “Mum would want her to RUN AWAY and her father would have a heart attack if he even knew she was being faced with the question.”
What other avenues does Quirrell have, besides persuasion? “Hostile magic” and a “spirit [touching]” her would be detected. Can he slip her a potion? Attack her physically? Use non-hostile magic, whatever that might be? Convince her to hex herself? Use hostile magic on someone else force them to attack her physically?
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What would a hypothesis about the end of the story look like which uses only information from chapter 1?
Claim: Harry’s war with Voldemort will destroy the world. Support: In Chapter 1, Petunia says about Lily’s reasons for not making her pretty, “And Lily would tell me no, and make up the most ridiculous excuses, like the world would end if she were nice to her sister, or a centaur told her not to …” Suppose Lily really did say those things, and believed them, and that there was the force of a prophecy behind them. If Lily hadn’t made Petunia pretty, Petunia would not have married Michael Verres, and Harry would not have grown up with science and math and sci-fi (and the attendant humanism) and rationality. A much weaker Harry would have attended Hogwarts, and fought Voldemort, and presumably would have lost. The world would survive, albeit under Voldemort’s thumb.
As a result of Petunia being made pretty, Harry grew up around books that made him strong, strong enough to pose a credible challenge to Voldemort. If they’re evenly matched, and fight to the death, then they take the world down with them.
This feels consistent with the events in the story so far, but it doesn’t really seem that the story is driving towards this conclusion. Except most recently, with the ominous feelings from the various seers following (caused by? who knows) Harry’s ominous resolution in chapter 85.
But it’s all I’ve got for a prediction that’s consistent with the events thus far and is foreshadowed in chapter 1.