Final answer:
Natiri changes her mind about letting Jake go with her to the People due to trust in Jake, a vision from Eywa, and a threat to the tribe.
Step-by-step explanation:
Natiri changes her mind about letting Jake go with her to the People due to a combination of factors. First, Natiri's trust in Jake grows as he saves her, takes care of her, and shows his love for her. Second, Natiri receives a vision from Eywa, the guiding force of the Na'vi, which influences her decision. Lastly, Natiri realizes that letting Jake go with her to the People would not only pose a threat to her tribe but also jeopardize their way of life and existence.