Written and illustrated by Rasuko Ōkuma, Stardust Telepath initially started in Houbunsha's Manga Time Kirara magazine on May 9, 2019, as a two-chapter guest work.

Yuricon founder Erica Friedman, reviewing the first two episodes, resonated with the desire of Umika to "find a solution to her loneliness outside human society," called the anime's focus on the fun from amateur rocketry as "terrific," said the series is "off to a good start," and praised the opening sequence as "quite lovely."

"[26] In Anime News Network's anime preview guide for Fall 2023, Richard Eisenbeis described the series as about "a young person trying to find her place in the world" and developing skills that can be used repeatedly "to make friends," while Rebecca Silverman said the series reminded her of Wish Upon the Pleiades, praised the imagery as adorable and related to Umika's social anxiety, but enjoyed less as it continued, with a strong dislike of the teacher, Nicholas Dupree argued that compelling parts of the protagonists "have been sanded down to comedic gimmicks by the end credits," and James Beckett praised the series for lively animation but for only being a "slight variation in the usual coming-of-age comedy formula.

"[27] Reviewing the first episode, Vrai Kaiser of Anime Feminist was more positive, calling it "about that fantasy of heart-to-heart connection," praised the empathy, gentleness of the show's tone, how the feelings of Umika in being alone in the world is a "deeply resonant one as a queer viewer," and said that if the series mages the "same emotional tenderness...and mental health struggles" as Bocchi the Rock!, it will "turn out to be quite the keeper.

"[28] In a later Anime Feminist digest, the series was described as a "sweet sci-fi yuri about an anxious girl bonding with a psychic alien.