Well, it would be a massive shock to the Naruto universe. Naruto was a key figure in promoting peace and unity. With his death protecting Ino, there could be a resurgence of old rivalries. Ino, on the other hand, would be forever changed. She might struggle with survivor's guilt at first. But over time, she could become a force for good in her own right, using Naruto's memory as a motivation. His death could also inspire other characters to reevaluate their relationships and what they are fighting for.
There could be. Fanfiction is a vast and diverse world where all kinds of crossovers and unusual plotlines can exist. However, considering that Naruto and Bleach are two separate and distinct anime universes, it's not something that would be part of the official storylines. But fans often create unique scenarios, so it's possible that someone has written such a fanfiction, though I haven't come across it myself.
One possible plot development could be that Naruto sacrifices himself to save Ino from a powerful enemy. This might lead to a great sense of guilt among the other characters, especially those in Naruto's circle. Ino herself might be forever changed, vowing to carry on Naruto's will in some way. She could become more determined to achieve peace in the ninja world, inspired by Naruto's selfless act.
One possible plot could be that Naruto is somehow transported to the Bleach universe. He meets Haku there, and they form a bond. When Haku is in danger from some powerful Bleach - related threats like Hollows or powerful Soul Reapers who misjudge Haku, Naruto steps in to protect him. In the process, Naruto, with his ninja skills but lacking the full understanding of the Bleach world's powers, gets overwhelmed and dies while trying to shield Haku.
Tenten would likely be deeply traumatized. Naruto was not only a comrade but also a symbol of hope and strength. His death in protecting her would make her feel guilty. She might start to question her own worthiness of being saved at the cost of Naruto's life.
In most cases, if Naruto dies in a Bleach fanfiction, it's likely a crossover event. His death could potentially disrupt the balance of power in the Bleach universe. For example, if his death is caused by a powerful Bleach villain, it might send shockwaves through the Soul Society. Shinigamis may start to question their own safety and the security of their realm. Also, his friends from the Naruto world might try to seek revenge in the Bleach universe, leading to all kinds of chaos and new storylines.
It could also be part of a more complex plot where Naruto has made a promise to protect Ino at all costs. There might be a prophecy or some sort of dark force threatening the village and Ino is specifically targeted. Naruto, knowing the importance of her life for the village or for some other deeper reason, gives up his own life to ensure her safety. This could lead to a great deal of character development for the other characters as they deal with Naruto's sacrifice.
Often in these fanfictions, the Hokage's death is a catalyst for major plot changes. It can lead to new alliances being formed, old enemies being forgotten as everyone unites against a new threat that emerges in the wake of the Hokage's death. It can also inspire new generations of ninja to train harder and uphold the legacy of the fallen Hokage.
He would feel a deep sense of guilt, thinking that if he had been stronger or more aware, he could have saved her. Naruto might also start to cherish the memories he had with Hinata more, and this could change his personality a bit, making him more somber at times. He would probably vow to protect the things that Hinata held dear, like her family and the village.
There could be a fanfiction where Naruto and Ino are exploring an ancient ruin. Unbeknownst to them, there are traps everywhere. When a huge boulder starts rolling towards Ino, Naruto pushes her out of the way. He gets crushed under the boulder's edge. Ino is desperate to save him. She manages to find some herbs in the ruin that have healing properties and uses her medical knowledge to treat Naruto's injuries. Meanwhile, Naruto's willpower also helps him in his recovery.
One possible plot could be that an ancient evil is awakened and sets its sights on destroying Konoha. Naruto, as the Hokage or a respected ninja, rallies all his friends and allies at first. However, as the battle progresses, he realizes that the only way to truly stop this evil is by giving his own life. So he makes the ultimate sacrifice, using his chakra to seal the evil away forever, thus protecting Konoha at the cost of his life.