Qui-Gon believed Anakin was the Chosen One, prophesied to bring balance to the Force, and that their meeting was no accident. He brought Anakin to the Jedi Council on Coruscant, and was angered when his fellow Masters refused to train the boy, but saw their lack of vision as only a temporary setback.
But there's not actually any evidence that Qui-Gon believed that Anakin was a great person, he simply believed Anakin was "The Chosen One." He also described Anakin as a "vergence" in the Force, suggesting that Qui-Gon's interest in Anakin was 100 percent connected to the idea that Anakin was a blend of light and dark.
On Mortis, Anakin encounters a vision of Qui-Gon Jinn, who says he believes Anakin is the Chosen One who will bring balance to the Force.
In Star Wars: Episode I – The Phantom Menace, Qui-Gon believed that Anakin was the Chosen One. The Chosen One was referenced in an ancient prophecy – a prophecy that, while alluded to in The Phantom Menace, wouldn't be properly explored until Claudia Gray's novel Master & Apprentice, published in 2019.
Anakin always thought of Qui-Gon as the father he never had, even though they spent very little time together. I'm sure there were many times in his time as a padawan to Obi-Wan where he would get annoyed and say “I wish Qui-Gon were here”.
The book then digs into one of the final scenes in The Phantom Menace, where Anakin watches Qui-Gon's funeral pyre blaze and “feeling a profound sense of loss.” After leaving his mother and the only home he's ever known, Anakin then experienced intense battle and the loss of a person who promised him a better future.
There, he discovered Anakin Skywalker, a boy with enormous strength in the Force. Qui-Gon believed Anakin was the Chosen One, prophesied to bring balance to the Force, and that their meeting was no accident.
Why Qui-Gon Jinn Was Palpatine's Greatest Threat. Unlike Yoda and the Jedi High Council, Qui-Gon Jinn was only concerned about the will of the Force. Therefore, Palpatine needed Qui-Gonn out of the way because he was better connected to the Force than the other Jedi.
Palpatine may still have eventually traded Dooku in for a newer apprentice, but nothing would have hindered his rise to power. Had Qui-Gon trained Anakin and kept him far from Palpatine, Anakin might have eventually died in the Clone Wars and been completely unable to fulfill any Chosen One prophecies.
Qui-Gon didn't fail to notice the Dark Side boiling up inside of Anakin Skywalker: he believed that darkness was exactly what was needed to bring balance to The Force. Showing once and for all that Anakin could have brought peace to the galaxy... if Qui-Gon Jinn had trained him.
We go for the more simple answer, further considering the details of the question itself. If Anakin didn't go into that chamber as the Jedi confronted Palpatine, then Mace Windu would have defeated Palpatine, killing him. If you remember, Mace had him. He was ready to kill him.
Qui-Gon Jinn, who is considered a maverick Jedi Master by his colleagues, might have been able to keep Anakin on the path of the Jedi, had he not been killed by Darth Maul. Star Wars' Qui-Gon Jinn would have been the ideal mentor for the young Anakin.
He can't call out to Qui-Gon Jinn because he has barely retained a connection with the Cosmic Force. It's why his mind is plagued by the kind of images and voices that drove Anakin to the Dark Side. Obi-Wan has lost his way in much the same way Luke Skywalker will one day.
And not only did the Jedi believe Anakin was the Chosen One, but they also had no problem being open with this idea. Even in Star Wars: The Phantom Menace, after Anakin gets denied Jedi training, Qui-Gon says, "He is the Chosen One, you must see it," right in front of the young boy.
They pulled this kid out of slavery, away from his mother and everyone he knew, and dropped him in an unfamiliar setting on a completely different planet. He was a kid. The Jedi, with the exception of Obi Wan (and Qui Gon before he died), openly distrusted and even disliked Anakin.
He had a softish spot for a handful of individuals and unlike many other Sith, Vader didn't generally kill innocent people for no reason - but he always hated the Jedi and he had no regrets about what happened to them. The best proof of this is how he throws himself into becoming the Empire's primary Jedi hunter.
Star Wars' Qui-Gon Jinn would have been the ideal mentor for the young Anakin. Not only could he have been a better source of guidance than Obi-Wan Kenobi in many regards, but he would have also prevented Palpatine from stoking...
Palpatine admits to Darth Vader that the Jedi he actually feared most was none other than Jocasta Nu.
Qui-Gon was ultimately defeated by a move that can only be done with a double-bladed lightsaber as Darth Maul used the handle of the weapon, striking Qui-Gon physically on the chin, stunning him for just long enough to deliver the killing blow.
Obi-Wan discovers that Qui-Gon's old master, Count Dooku, has become a Sith Lord; and Dooku mentions Qui-Gon as he interrogates a captured Obi-Wan, expressing grief over his former apprentice's death and debating that Qui-Gon would have followed him in leaving the Republic had he survived.
During Palpatine's reign as Emperor, his apprentice's true identity was kept a secret, leaving only a few Star Wars characters aware Anakin was Darth Vader. Besides Obi-Wan, Master Yoda also knew the truth, as well as Ahsoka Tano, R2-D2 and C-3Po, and even Senator Bail Organa.
According to the Episode III novel, Windu believed that Anakin's powers were growing far too quickly, and that he was not disciplined enough to control them. "Skywalker is arguably the most powerful Jedi alive, and he is still getting stronger. But he is not stable. You know it.