So... is Dr. Rin ni Kiitemite! finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: February 25, 2002
Manga finished: May 02, 2003
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
Here you have all the anime relations we detected ordered by release date, so you can see the reason for this status in context and also use it as watching order.
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Synopsis
Dr. Rin ni Kiitemite! centers around Kanzaki Meirin, a seemingly ordinary junior high student with a secret.
Unbeknownst to most, Meirin is actually Dr. Rin, a powerful fortune teller who uses her fusui abilities to protect people from evil spirits.
Adding a layer of personal complexity, Meirin harbors a crush on her close friend Yuuki, a soccer enthusiast who is skeptical of fortune-telling and the supernatural.
The story explores Meirin's double life as she balances her responsibilities as Dr. Rin with her desire for a normal relationship with Yuuki, navigating the challenges of keeping her secret while trying to win his affections.