Maybe Maester Aemon meets Daenerys when she is in a difficult situation. He then uses his medical skills to heal someone close to her, like one of her dragons that got injured. This act of kindness earns him her trust, and they start to exchange ideas about justice and power.
They would interact with great respect. Maester Aemon, being a learned man, would address Daenerys with the deference due to a queen. He might start by complimenting her on her achievements so far, like freeing the slaves. Daenerys would be curious about Aemon's knowledge of the Westerosi politics.
One idea could be a story where Aemon grows up in a world trying to heal from the previous wars. He has the combined traits of Jon and Daenerys, being both strong - willed like his mother and having a sense of honor like his father. He could be on a journey to discover his own place in this new world, facing challenges from those who still hold grudges against his parents' union.
The fanfiction could be about Aemon growing up away from the political chaos. He is raised by a simple family in a small village. However, as he reaches a certain age, he starts to have dreams that lead him to discover his true identity. He then decides to leave his peaceful life and journey to the capital to claim his rightful place, facing many difficulties on the way.
I'm not sure about a specific 'Aemon son of Jon and Daenerys fanfic' off the top of my head. But you can try searching on fanfic websites like Archive of Our Own. They usually have a wide variety of fanfictions on different topics. Just type in the keywords 'Aemon son of Jon and Daenerys' and you might find some great reads.
The unique relationship between Aemon and Daenerys as twins is what makes these fanfics interesting. It's a new take on their individual characters, and we get to see how they interact in a different way compared to the original story. Their combined strength and the way they might influence each other's decisions add an exciting element.
One possible plot twist could be that Cersei pretends to surrender to Daenerys. Daenerys, believing her, takes Cersei into her confidence. But Cersei is actually plotting a big betrayal from within. She could be secretly gathering her remaining forces and planning to assassinate Daenerys when the time is right.
One common theme is the struggle for identity. Aemon, being the son of two very powerful and controversial figures, often has to figure out who he really is. Another theme is the idea of legacy. He has to deal with the legacies of both Jon and Daenerys, which can be both a source of power and a great burden.
One possible plot could be that Jon Snow, on his journey north of the Wall, somehow gets lost or is magically transported to where Daenerys is. They immediately recognize each other's importance. Jon, being the honorable man he is, offers his help to Daenerys in her quest for the Iron Throne. Daenerys, in turn, is intrigued by Jon's tales of the North and the White Walkers. They form an alliance early on, which changes the course of the entire Game of Thrones story, with their combined forces being a formidable power in Westeros.
The fanfic 'Twins of Dragons' is also quite good. It starts with their discovery of being twins in a rather unexpected way. The author does an excellent job of building up their relationship, from initial shock to a deep, unbreakable bond. It also includes some interesting sub - plots involving other characters from the 'Game of Thrones' universe who react to their new - found connection.
One possible plot twist could be that Arya, being a master of disguise, infiltrates Daenerys' court under a false identity. She initially plans to spy on the Dragon Queen but ends up being impressed by Daenerys' leadership and her quest for justice. This could lead to an unexpected alliance between the two strong - willed women.