Eh, I don't think it's realistic to prevent a revolution even if you have a superpower of a perfect knowledge of the future (more or less), even in this chapter it's clear that e.g. princes don't have all that much of a say in politics despite being mildly symphatetic to commoners to some extent. Even if you thwart some specific events you know about, people are already pissed, something else will spark that unless you're going to engage in some serious high level politics over the span of years to defuse the unrest, do reforms etc etc. Keeping your own ass safe is the smart choice.
(although I do realize I'm talking about realism in a series where we had a floating rpg game menu in the sky)
there is a misunderstanding here that ppl are assuming rei is trying to stop the revolution, she is very much in favor of the revolution. what she is trying to stop is the eventual violent turn where the commoners execute the aristocracy (no matter how deserved it might or might not be). she wants to protect claire and her other friends and get the fuck away from what she knows is coming.