Displacement

or, Deux Navires Passant dans la Nuit

If you wake up in a new world, with only your memories of home to guide you, you have to trust the first people you meet.

The first people Leah meets seem to know her - but not *her*. Leah is thrust into a fighter's role that does not quite suit her, and those who 'rescued' her do their best to help her fit in. They hint at a world that Leah can only vaguely understand without serious research and exploration, but how to do that research, when everyone believes her to be a local of this place, and too many questions might draw unwanted attention?

And what about home?

The more Leah learns about this world, the less she believes that she woke up on the right side of the bed - or more accurately, on the right side of the conflict. With magic being strictly regulated in her current "home," maybe it's time to uproot and look for a new set of allies...

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Lesbian Lead, by the way, since there are almost no tags for LGBT stuff

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Displacement is also posted on Royal Road