Maybe he wanted to show Kay the harsh reality of their world. The Luca story could be a way to warn her about the dangerous nature of the mafia business and the kind of people they deal with.
She might have been shocked. The story was probably full of violence and things that were far from her normal life, so she could have been horrified at first.
The Godfather was an American gangster novel directed and written by Francis Ford Coppola. It was first released in 1972. The novel tells the story of the protagonist, Mike Corleone, from the godfather of a gangster family to his assassination.
The story was set in Sicily, America. Michael Corleone was the founder and leader of this gang. The story mainly talked about Michael Corleone and his family's gang life in Sicily and their struggles with other gangs and organizations. At the same time, the story also showed Michael Corleone's philosophy and values, including family, friendship, responsibility, loyalty, and so on.
Due to the fact that the novel involved gangs and crime, it received widespread criticism and controversy after its release. It was not only regarded as a classic gangster novel, but also as a part of American culture, which was widely praised and influenced.
Given the lack of context, Michael could be anyone. He might be a local storyteller in a small town, known for his engaging tales. Or perhaps he's a character in a story within a larger narrative, like a character in a novel who has a story - telling role.
Since the only information we have is 'luca is a gay story', Luca could be anyone. Maybe he's a young man who has just discovered his sexual orientation and is navigating the world around him. He might be facing difficulties at school, at home, or in his social circle because of being gay. It's also possible that he's an older character who has a long history of relationships and is now reflecting on his life as a gay person.
I'm not sure specifically which Michael and what story he is telling. It could be a personal anecdote, a fictional tale, or something related to his experiences within the mansion.
In 'Ant - Man', Michael Pena's character tells various stories. One of the main stories he tells is about his experiences in prison which are both humorous and a bit wild. It's a way for his character to connect with Scott Lang (Ant - Man) and also to add some comedic relief to the movie.