They'll probably jump ahead a couple years and the story will start with Leia having died after the events of Episode 8, before Episode 9 begins.
That's a distinct possibility. I hope not, though.
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Honestly, they should've just let her die in the attack on the bridge. They could've further complicated Ben's internal struggle by giving him this chance for redemption, but he's driven further towards the dark side by her death at the hands of the First Order.
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Arguably, though I considered that when watching the movie. Had she died there, it wouldn't have thematically fit with the rest of the movie. It'd just be this odd death breezed over to get to the rest. More people would complain about "Wow, what a lame Leia death that was!" than not.
And the thought of re-editing the movie, removing her other scenes to suddenly have her die there just because Fisher died? That's horrible. Evil. The actress not even in the ground a year, and now you're going to retroactively murder the character she's known for? Truly awful.