The tailed beasts had lived in the same era as the Sage of Six Paths, giving them at least a thousand years of history. Humans, on the other hand, could live only a few decades at most, so the Two-Tails could afford to wait that long. (Ninjas had relatively short average lifespans.)
Shin Uchiha had agreed to set the Two-Tails free because of a forbidden technique invented by Chiyo of Sunagakure-One's Own Life Reincarnation. At present, Chiyo was the only person who could use it, and its effect was to transfer the caster's life force to the dead.
In other words, extracting the tailed beast from Yugito would still kill her. The forbidden technique, One's Own Life Reincarnation, would merely bring her back afterward, so Shin Uchiha was not entirely comfortable with that option.
In fact, by the time that day came, he would have no need for Chiyo's One's Own Life Reincarnation. Even if Shin Uchiha had not reached Six Paths Level, the cooldown on his dōjutsu, Rinne Rebirth, would have ended long before then.
Since the Two-Tails had agreed to his request and even postponed her freedom until Yugito's death, Shin Uchiha appreciated her generosity. His gaze softened as he looked at her and nodded.
Now that the Two-Tails had agreed, Shin Uchiha did not hesitate any further. He activated his Rinnegan and began extracting the Two-Tails' chakra directly from Yugito.
Once Shin Uchiha finished extracting the chakra, the Two-Tails, drained of a considerable amount, fell into a deep sleep. As her jinchūriki, Yugito also grew somewhat weak because of the Two-Tails' poor condition.
Shin Uchiha affectionately smoothed Yugito's slightly disheveled hair, then gathered her weakened body into his arms and teleported straight to her residence, carefully laying her on the bed.
Looking at Yugito, Shin Uchiha asked