In a difficult situation with no way out.
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In serious trouble with no obvious way out.
When you're up the creek without a paddle, you're stuck in a difficult situation and the usual means of escaping it aren't available.
It implies being on your own and in deep trouble.
"In a Pickle"
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In a difficult or awkward situation — less severe than being up the creek
"Between a Rock and a Hard Place"
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Facing two equally bad options — not the same as having no way out at all
"Up the Creek Without a Paddle"
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In serious trouble with no clear or available way out