Rather than seeking such specific and often unwholesome fanfiction, it's more enjoyable to explore fanfictions that stay true to the essence of the characters. For example, fanfictions that expand on Arya's adventures in Braavos or her training with the Faceless Men. These are much more in line with the spirit of the 'Game of Thrones' universe.
Some people might be interested out of a sense of curiosity or a desire to explore 'what - if' scenarios that are completely different from the original story. However, these often deviate from the intended character arcs and the overall mood of the 'Game of Thrones' series.
In the official 'Game of Thrones' series, it was Sansa's necklace (which was actually a poisoned device) that led to Joffrey's death, not Arya. However, in some fanfics, authors might create alternate storylines where Arya kills Joffrey. But these are non - canonical and just creative interpretations by fans.
There would be chaos. Joffrey is a king, so his death would create a power vacuum. His mother Cersei would be furious and would likely start a manhunt for Arya. The Lannisters might declare war on Arya's family or allies. The political landscape would be completely disrupted as different factions would try to take advantage of the situation.
If Arya killed Joffrey in a fanfic, one possibility is that she would become an instant target for the Lannisters. They would stop at nothing to avenge Joffrey's death. Arya would have to go into deeper hiding or rely on her Faceless Men training even more. Maybe she'd have to flee across the Narrow Sea and start a new life in Essos, constantly looking over her shoulder for Lannister assassins.
Love and relationship are very common themes. Since Eragon and Arya have a complex relationship in the original series, fanfictions often explore different aspects of their feelings for each other, whether it's the initial attraction or the development of deeper love over time.
I'm not sure specifically about 'eragon x arya lemon fanfiction'. However, you can start by checking popular fanfiction websites like FanFiction.net or Archive of Our Own. They have a wide variety of fanfictions, but make sure to follow the site's rules and guidelines.
There's also 'The Stark Bond' in the realm of Jon and Arya lemon fanfiction. It takes their deep connection as siblings in the original series and reimagines it in a more romantic and passionate way. But remember, fanfiction is a creative interpretation and not official canon. It can be a fun read for those who like to explore different takes on the characters.
Some dedicated fan communities on social media platforms like Reddit might also be a good source. There are often threads where fans share and discuss their favorite fanfiction, including Jon and Arya ones. You can ask for recommendations in those communities as well.
One idea could be a story where Eragon and Arya go on a quest together and encounter a magical lemon tree that has special powers. They have to protect the tree from an evil force that wants to use its power for bad.