Warning: Spoilers ahead for Loki episode 2, "The Variant"
episode ended with her bombing the Sacred Timeline with reset charges, wreaking havoc on an unprecedented scale.
Loki succeeded in tracking the variant down when he correctly deduced how she was hiding from the TVA. He realized it was possible to conceal oneself in a moment of an apocalyptic disaster as any impact one had on the Sacred Timeline would be erased and thus be unable to be traced. The theory was tested with an impromptu visit to Pompeii, AD79, and then Loki and Mobius M. Mobius combed the TVA's records looking for the right disaster. This led to a disturbing scene in which they revealed a number of tragedies, suggesting Earth's future in the MCU is rather bleak. But they ultimately settled on a horrific storm that struck a Roxxcart facility in 2050. This may actually be a subtle hint pointing to Thor's activities in that era.
Roxxcart is a subsidiary of a company called Roxxon, which has had a background presence in the MCU ever since 2008's Loki episode 2 is foreshadowing the future conflict between Thor and Roxxon.
Of course, the interesting question is just who will wield the powers of Thor by 2050. 2099 comic book range, which envisioned a world where corrupt companies dominated and superheroes battled against them - sometimes in brutal ways.
This is only a theory, but it would be perfectly fitting for a variant of Loki to hide herself in a place ravaged by Thor, a place where the Thunder God lashed out in rage, and killed innocents. Any Loki variant would take pleasure in the fact they were hiding from the TVA in a place where a Thor had failed.
Loki releases new episodes every Wednesday on Disney+.