Naruto's chakra could be affected in different ways. Maybe his chakra would take on some properties of the Xenomorphs' acidic blood. So, when he uses certain jutsu, it could have an acidic effect as well. Also, his ability to sense danger could be enhanced. The Xenomorphs have a natural sense of stealth, and Naruto could inherit this, making it even harder for enemies to surprise him. He could also use his shadow clones in more creative ways, like using them as decoys to draw out the Xenomorphs' attacks and then counterattack.
His combat abilities would become more diverse. Madara could teach him new forms of taijutsu and ninjutsu. For example, Naruto might learn some of Madara's signature space - time ninjutsu, which would give him an edge in battles. His chakra control would also improve as Madara is very proficient in chakra manipulation.
His chakra control might be affected by the different magical energies in the DxD world. Maybe his chakra could interact with the devil or angelic powers in unexpected ways. For example, his Rasengan could gain new properties if combined with devilish power. His shadow clones might also be able to do things like sense magical auras, which they couldn't do in the Naruto world.
He would likely have the Sharingan. This would give him the ability to copy jutsu just by seeing them, and also predict his opponents' moves. His combat skills would be enhanced as he could use the Sharingan's powers during battles.
His abilities would be enhanced greatly. He could have better chakra control. For instance, he could use chakra more efficiently and might be able to perform jutsu with less effort. His physical abilities like strength, speed and agility would also improve. He could run faster than normal ninjas and jump higher.
His chakra system might interact with the ambient energy in the Marvel Universe in strange ways. For instance, his rasengan might become more powerful or have different effects. Maybe it could disrupt the energy fields of some of the Marvel villains like Magneto's magnetic fields.
Naruto's character would likely become more sensitive. As a girl, she might be more in tune with her emotions and those of others. She may also become more cautious in some ways, as she'd have to deal with different threats and challenges related to being female in the ninja world.
His abilities might be enhanced by the demonic powers associated with Sirzechs' world. For example, his Rasengan could take on a more demonic form, with added destructive power. Maybe he could also gain the ability to teleport short distances like some demons in Sirzechs' world, which would give him an edge in combat.
His daily routine would be quite different. Instead of just focusing on ninja training and missions, he now has to make time for the puppy. He might start training the puppy to be a sort of 'ninja - dog' too. This would add a new aspect to his life and he would have to balance his duties as a ninja and a pet owner. And his friends might start coming over more often just to play with the puppy, which would bring more social interactions to Naruto's life.
His ninjutsu might be used in different ways. For instance, his Rasengan could be modified to work with the local materials or energy sources in Tifa's world. His ability to move quickly and stealthily would still be useful, but he might have to adapt to new terrains and environments. Maybe he'd use his chakra to enhance Tifa's fighting skills too.
In a fanfic scenario where Naruto has Madara's eyes, it would be a game - changer for his abilities. First off, the basic Sharingan abilities would boost his combat awareness. He'd be able to react faster and with more accuracy. The more advanced forms of the Sharingan, like the Eternal Mangekyo Sharingan if he were to achieve it, could grant him access to powerful techniques. For example, he might be able to use space - time ninjutsu similar to Madara. This would not only change the way he fights but also how he strategizes in battles, as he would have a whole new set of tools at his disposal.