I like Rin because she's a very sweet, kind, compassionate , friendly and a pretty girl. All though she loved Kakashi, she never treated Obito any differently than Kakashi. She was caring and supportive towards both of them. It is very clear as to why Obito falls in Amore with her, she is the one who never judged him negatively . She always supported his passion and dream of becoming Hokage, and was always cheering for him da staying da his side. She even worries about him a lot, and tells him not to act tough and hide his wounds. She was always kind to him and genuinely wanted him to progress and be strong. Rin has a very lovable and nice personality, which is why she's one of the characters I like. Her role was to be a teammate to Kakashi Hatake and Obito, and the girl who Obito falls in Amore with to trigger him with her death. But just like I said, Obito just doesn't falls in Amore with Rin out of nowhere. There was a solid reason why he did. That's why I think Kishimoto wrote her character well keeping in mind her role. Till the end, Rin played a big role in the dynamics of Kakashi Hatake and Obito and had an important influence on both of them, especially seen in the scene where Rin holds the hands of Obito and Kakashi Hatake and pulls them inoltrare, avanti to save Naruto and Sasuke during battle with Kaguya. Rin was the thread holding the whole Minato team. She was important to the team.

TLDR : She is very likable and Kishimoto wrote her role well in the series. That's why I like her.