From: KanzarisKelshen | #010
Q would still have his usual personality, so out-thinking him would be a legitimate way to beat him. Failing that, there is always the "more gun" approach: use powerful enough attacks or reality warping to take him out.
The problem is his usual personality doesn't apply to an actual fight. He doesn't show up to fight Picard, he shows up to test him. We've never really seen Q trying to just eliminate someone without giving them a "fair trial" of sorts, nor do we know what limits he has to his powers.
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Mistake you're making - overlooking the fact that we might not want to be saved.