Hey my friend! Which Nightfall are you referring to?
I should note that some Nightfalls have multiple emblems associated with them and most of them drop by RNG. Source: my dozens of runs on Strange Terrain for the emblem :')
Good luck out there!
Edit: I realize I misconstrued this question and gave an answer to a completely different question. My bad!
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no problem Fellow guardian!! I got the answer and will have to wait for Corrupted strike to return back. :)
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There is a unique emblem you get for speed running all of the nightfalls called "After the Nightfall" https://www.light.gg/db/items/1987790789/after-the-nightfall/
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Haha yeah realized that like a minute after I gave an answer (oops). But @TheHaraamPolice appropriately answered the question above