They might have a positive reaction. Since Naruto fanfiction often contains exciting new storylines, the gods could enjoy these fresh takes on the Naruto universe.
It's possible they could be critical. Gods, with their supposed high standards, might find some of the fanfiction not in line with what they think the Naruto world should be like. However, they could also recognize the passion and creativity behind it.
The gods could have a range of reactions. Some might be dismissive if the fanfiction doesn't align with their view of the Naruto world. Others could be highly entertained and might even start to daydream about the scenarios presented in the fanfiction. There's also a chance that they would feel a sense of admiration for the creativity of the fanfiction author in coming up with the 'emperor Naruto' concept.
Maybe they would be surprised. Fanfics often take the original story in new directions, and the gods might not expect such creative interpretations of their lives and actions.
Sakura might have a complex reaction. She might be initially jealous if the fem Naruto in the fanfiction is shown as being better in some ways than she is. But she could also be intrigued by how the new character fits into the Naruto universe and how it changes the relationships she has with the other characters.
Maybe they would laugh. Some fanfictions are full of humorous situations and dialogues that could tickle their divine sense of humor.
Yes, they probably would. Naruto might laugh at some of the comical fanfictions about his eating habits. He loves ramen, and if there are stories exaggerating this, he'd find it hilarious.
Yes, they probably would. Ichigo might blush if he reads a fanfiction about his romantic relationships. He's not really the type to be open about such things, so it would be an embarrassing experience for him.
When it comes to whether the gods approve of chaos fanfiction when reading it, we have to consider their nature. Some gods might be more open - minded and see the fanfiction as an interesting exploration of chaos. Others, who are more traditional or strict, may not approve. For instance, if a fanfiction shows chaos as a positive force that overthrows the gods' order, the more authoritarian gods would surely not be in favor of it. But if it shows chaos as a necessary part of the cosmic balance, some gods might at least tolerate it.
It's hard to say for sure. The characters are so busy with their own battles against demons and dealing with the Shadow World politics. But hypothetically, Alec might be more understanding. He has seen a lot of different sides of the Shadow World and the people in it. So he might see fanfiction as another form of creativity within the fandom. But Clary would probably be more focused on real - life (well, as real as it gets in their world) issues like finding new runes and protecting her loved ones to really pay much attention to fanfiction.
They might be amused. The gods in Greek mythology often have a sense of grandeur, and seeing their stories twisted in fanfiction could be an interesting novelty for them.
I don't think gods read fanfiction. Gods are typically associated with grander things like creating the world, governing natural forces, and guiding moral compasses. Fanfiction is a very human - centric and modern form of creative writing, often related to pop culture. It seems out of place to think that deities would be involved with it. They have their own 'stories' in religious canons, and those are quite different from the nature of fanfiction.