The Loki series is something of an ouroboros, with both the premiere and the Season 2 finale called "Glorious Purpose." The show introduced a variant of the Marvel Cinematic Universe's Loki to the Time Variance Authority, which put him to work hunting, essentially, himself. When he finally met Sylvie, the murderous Loki variant who grew up hiding in apocalyptic events, they both wanted something. Loki wanted to rule and Sylvie wanted to be free to chart her own destiny. The season 2 finale gave Loki and Sylvie what they originally wanted, but neither were happy about it. The Loki Season 2 premiere revealed that after the death of He Who Remains, the Temporal Loom that powered the TVA and the Sacred Timeline was failing. Sylvie wanted to see it destroyed along with the rest of the TVA.
Source:https://www.cbr.com/loki-sylvie-wish-fulfillment-season-2-finale/