What did Loki do to Sigyn?

Sigyn (pronounced roughly “SIG-in”) was the wife of the wily trickster god Loki. ... The gods also placed a snake above Loki that would drip venom onto his head. Like a model of a traditional, dutiful wife, Sigyn sat by Loki's side with a bowl to catch the drops of venom so that they wouldn't touch her husband's head.

Who was Loki in love with?

After he's captured by the TVA, Loki's tasked with helping it track down a variant of himself — Sylvie, a female Loki hellbent on revenge against the Authority. After facing down an apocalypse together, the two fall in love, which has reality-shattering implications.