In the film, Neo returned from the Matrix to his own body. Since it was the first time in his life that he had truly used his own body, he needed some "rehabilitation," because his body had never been used in reality.
The body Voldemort used for his second resurrection was not his own, but one created with potions. Originally, he had wanted the Philosopher's Stone to create a perfect body.
Suppose Georgiana's current situation was similar to Neo's. She was trapped in a world, yet when Voldemort had possessed her body, it had not quickly begun to stink like Quirrell's, nor had it collapsed.
An ordinary person's body—even a wizard's—would develop one problem or another if it housed two souls at once, but Pomona was a mixed-blood magical creature...
She had always thought Harry Potter carried plenty of secrets, such as his Parseltongue. The old fool had also used that as evidence to conclude that Harry was Voldemort's final Horcrux. Now she realized that she, too, had quite a few secrets.
Making one's consciousness truly control one's own body was an indescribably difficult process. Controlling one's own body was hard enough, let alone one that had been "made."
Personally, she felt that even if Neo, the "Salvator Mundi," had truly saved the humans inside the Matrix, humanity would not have thanked him. In the film's setting, those being saved were usually children, because adults found it difficult to accept.
Put it this way: if Neo had truly destroyed the Matrix as planned and liberated all the humans enslaved by it, not all of them would have been grateful to him. Especially those who had originally led happy, stable lives. Everything they had would vanish along with the Matrix—their homes, their yards with sunlight spilling across the lawns, even their