Well, they might face challenges related to their different personalities. Naruto is often very optimistic and impulsive, while Anko has a more mysterious and sometimes brooding nature. This could lead to clashes in how they discipline the child. Also, given Naruto's responsibilities in the village, he may not have as much time to spend with the family as he'd like, which would be a big hurdle in raising the child.
They might face challenges in the child's education. In the ninja world, there are specific skills and knowledge that the child needs to learn. Naruto and Hinata have different fighting styles and abilities. Deciding which ones to teach the child first could be a headache. Also, the child might struggle with making friends in the village. Naruto was an outcast as a child, and they'd want to prevent the same for their adopted child. They'd need to be very involved in the child's social life to make sure he or she is accepted.
They might face social challenges. In the wizarding world, there could be those who don't approve of their relationship or their decision to raise a child together. Also, financial challenges could arise. Even though they are heroes, they still need to provide for the child's needs, like education at Hogwarts which might have costs associated with it.
The child would likely face a lot of prejudice. In the Percy Jackson universe, the idea of Artemis having a child goes against her long - held status as a virgin goddess. So, many characters might look down on the child or be suspicious of it. Also, the child would have to deal with very different powers from its parents. Percy has powers related to the sea, and Artemis has powers related to the moon and the hunt. Combining and controlling these different powers could be a huge challenge for the child.
The child might inherit Naruto's powerful chakra reserves. With Naruto being a Jinchuriki, the child could have a large amount of chakra. Also, from Anko, the child could inherit her snake - related techniques or her stealth abilities.
Naruto would be a very loving and supportive father. He'd probably be a bit overprotective at times because of all the dangerous things he's faced. But he'd also encourage his child to be independent and follow their dreams. He'd be there to teach them ninja techniques and share his own experiences to help them grow.
One challenge could be dealing with the reactions of their friends and the village. Since Naruto is a well - known figure, people might be shocked by his relationship with Shizune. There could also be issues with the child's training. Naruto wants the child to be strong, but Shizune might be more cautious due to her medical knowledge.
Lack of financial resources is a major one. For example, they may not be able to afford proper education or good healthcare for the child.
One of the main challenges would be the dangerous environment. Tartarus is filled with all kinds of monsters and hazards. Percy would constantly have to protect the child from these threats. Also, the lack of proper resources like food and clean water could be a huge issue. There's not much in Tartarus that is suitable for a growing child.
One challenge could be their different backgrounds. Naruto was an orphan with a dream of becoming Hokage, while Anko had a more troubled past with Orochimaru. Their different experiences might lead to misunderstandings. Another challenge could be their combat styles. Naruto is more of a brute - force fighter, while Anko is more about stealth and poison. Combining their skills for missions might be difficult.
One challenge could be controlling the new power. Just like Naruto had to learn to control the Nine - Tails' chakra, he'd have to figure out how to use Achilles' power without overexerting himself. Another might be dealing with enemies who would target his new weakness, if he has one like Achilles' heel.