“Dumbledore didn't want to lose his wand at that point and Draco disarmed him. So that meant that the wand gave Draco its allegiance, even though Draco never knew it, even though Draco never touched it. “From that moment on, that wand gave its allegiance to Draco, and it wouldn't work as well for anyone but Draco.”
He chose to protect Harry (and the plan). "Dumbledore had wordlessly immobilised Harry, and the second he had taken to perform the spell had cost him the chance of defending himself."
No. Albus Dumbledore did not intend for Draco Malfoy to disarm him. The door burst open and somebody erupted through it and shouted, “Expelliarmus!”
Since Dumbledore was the last owner of the Elder Wand and undefeated, as your question states that Draco didn't disarm him, the power in the wand would have died with him.
The answer is simple: It was far too risky for Severus Snape to be aware of both the Hallows and the Horcruxes. You have to remember that Severus has his poker face turned on to expert level when he is employing Occlumency in the face of Voldemort, the greatest Legilimens.
Dumbledore knew that destroying Voldemort's horcruxes was the only way to truly defeat him. He believed that Harry was the one person who was smart, courageous, and perhaps lucky enough to find and eliminate all the horcruxes.
He finds out for sure immediately after Nagini's attack on Arthur Weasley. This night is significant in many ways. While Harry sleeps, he enters Nagini's mind.
Voldemort, seeking to punish Lucius Malfoy still further for the botched capture of Harry, demanded that Draco perform a task so difficult that he would almost certainly fail – and pay with his life. Draco was to murder Albus Dumbledore – how, Voldemort did not trouble to say.
Stealing the cloak would have been evidence against him. The cloak is highly unusual, Dumbledore and Snape know it belongs to Harry. If and when Harry was found, he could have accused Draco and proven the charges easily. Draco would get detention if not suspension.
Why didn't Dumbledore think of using a basilisk fang to destroy the horcruxes? He was considered a genius, he knew there was a dead basilisk in the chamber of secrets at Hogwarts and that Harry destroyed Tom Riddle's diary with its fang but instead of doing it the simple way, he kept thinking of other ways.
Snape saved Draco, and having realised that Harry got a hold of the old textbook, he punished Harry with a multitude of detentions for nearly killing Malfoy.
With that in mind, it's best to think of Dumbledore's statement, "You are not a killer," in this way: "Draco, you are not a killer; you have not killed anyone yet, and you don't have to. The choice is before you.
Voldemort intentionally made six Horcruxes, but when he used Avada Kedavra on Harry, he unintentionally created a seventh Horcrux. Instead of dying, Lily's love for Harry created a counter 'curse' known as Sacrificial Protection and saved Harry.
However, Draco was ordered by Voldemort to kill Dumbledore. Lestrange saw this as an opportunity to test Snape's loyalty and while making this vow to always watch over Draco, Lestrange forced Snape to agree to killing Dumbledore himself in case the youngster was unable to do so.
Gaunt's ring
After retrieving the ring Albus Dumbledore himself fell victim to a curse that, even when contained, would likely have killed him within the year. Once rendered defunct as a Horcrux, the stone was placed inside a Golden Snitch and left to Harry Potter in Dumbledore's will.
Draco's refusal to reveal Harry's identity to Bellatrix was not because he liked him. It was because he believed that Harry was the only chance they had at defeating Voldemort. At first, Draco admired and revered Voldemort until he threatened his family's safety.
It turns out that instead of rejoining the Death Eaters, Draco was supposed to help Harry at the very last second by throwing him his wand to help him defeat Lord Voldemort.
He was more jealous of Harry than he let on
Specifically, Draco was jealous of Harry. It was easy to miss because Draco didn't often show his emotions, modelling himself on his cold, confident, calculating father, but J.K. Rowling has confirmed that a lot of his enmity towards Harry stemmed from envy.
Harry eventually comes to possess all three Hallows – the cloak being inherited from his father James Potter, later understood to be a descendant of one of the Peverell brothers, the Resurrection Stone in the Golden Snitch bequeathed to him by Dumbledore, and the allegiance and mastery of the Elder Wand when he defeats ...
Narcissa's greatest moment, however, was when she chose to betray Voldemort in Harry Potter and the Deathly Hallows. Not knowing whether Draco was alive or dead, Narcissa chose to lie to the Dark Lord rather than risk losing her son.
Voldemort hugged Draco as an improvisation and it wasn't planned. Even Tom Felton (Draco Malfoy) was caught unaware which increased the effect. In Harry Potter style, it was like a welcome for Draco, but as Voldemort had never known love, he didn't know how to hug him very well. Thats why they had the awkward hug.
Isaacs brings up Lucius' disheveled appearance in Deathly Hallows, raising the possibility that the Malfoy patriarch had begun drinking too much. The way Isaacs saw it, Lucius was in a no-win situation. Given everything he'd done, the man no longer had a place on either side of the war.
One is that Severus Snape is a master of Occlumency and therefore a difficult target for Voldemort to see through. The second is that Harry himself was not able to block Voldemort, and therefore the overall plan between Snape and Dumbledore was too critical to risk its discovery.
Dumbledore reveals how thoroughly he loves Harry. Harry is brave, and Dumbledore is proud as any father would be. More than that, Dumbledore succumbs to a parent's weakness; he cares more about Harry's happiness and wellbeing than the wizarding world he is trying to protect.
She noticed how Harry acted more like Voldemort when the locker was on, while Ron had acted insecure and her emotional. She knew that something was off and at that point it was in her head that he was a horcrux.