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Sigyn , a light elf from Alfheim, has a story that looks like Loki's , was given an asgardian form to her as well, as the time passed they discovered being soulmates , I mean Frigga did .
Sigyn was the love of Loki's life the one and only that he truly loved , which made him possessive, possessive towards the others , he wouldn't let them touch her or speak to her without his presence , but she didn't mind , she was used to it, it made her feel protected.

⚠️possessive Loki fanfic ⚠️

( sigyn in Norse mythology is not a light elf but let's pretend and in the Norse mythology sigyn is Loki's wife , so people let's connect the dots ;). )