There's not really an established love story for Loki in the Avengers. But if we were to create one, perhaps Loki could meet a brave SHIELD agent. She would initially be his enemy but gradually see through his facade of evil. Loki, in turn, would be intrigued by her fearlessness and unwavering sense of justice. Their relationship could develop as they face common threats together, with Loki slowly realizing that there are things more important than power, like the connection he has with this special person.
In the Avengers world, Loki is often seen as a villain. But for a love story, we can think about it this way. Loki, during his time on Earth, might encounter a brilliant scientist. This scientist is not afraid of Loki's magic and tries to understand him rather than simply fear him. Loki, who has always been alone in his pursuit of power, starts to feel a different kind of attraction. It could be a love based on mutual respect for intelligence and a shared curiosity about the unknown, which could have been a great sub - plot if explored in the Avengers story.
Well, in the Avengers universe, Loki's character is complex. While he doesn't have a traditional 'love story' in the strictest sense within the Avengers movies. He is more focused on power and his own schemes. However, some fans might imagine a love story where he could potentially fall for a powerful Asgardian or even a human who challenges him intellectually and morally. This could be a very interesting concept as Loki is a character full of contradictions and a hidden depth of emotions.