From "Nobody Believed Neil deGrasse Tyson's First Accuser. Now There Are Three More/No one believed Tchiya Amet when she said Tyson had raped her in the 1980s. Now, three other women tell BuzzFeed News that he harassed them, including one who’s sharing her story publicly for the first time" (BuzzFeed).
What was the New Age religion that that seems to some people to discredit Amet? We're told that after the time of the alleged rape...
Amet would never return to science (though she tried, twice, to reenroll in graduate school, with a focus on historical African astronomy). She got married, homeschooled her two kids, moved into a small one-story house on an Indian reservation in Northern California, and then got divorced. She sang in a reggae band, and fully adopted a New Age way of thinking about the universe — rooted in energy, astrology, and ancient teachings, rather than science.Amet "wrote a rambling blog post, as fragmented and disjointed as her memories of the incident, titled “I Survived RAPE by Neil de Grasse Tyson; The Blue Lotus Speaks!”
In 1995, as part of what she calls her spiritual healing, she changed her name to Tchiya Amet — which means “rebirth” and “truth” in Hebrew. “I did not want to identify with Staci — I wanted her to be dead,” Amet said.
From Neil de Grasse Tyson's own response:
For me, what was most significant, was that in this new life [30 years later], long after dropping out of astrophysics graduate school, [Amet] was posting videos of colored tuning forks endowed with vibrational therapeutic energy that she channels from the orbiting planets. As a scientist, I found this odd....When does religion discredit a complainant? I don't think the answer should be when it seems flaky to people who would be deferential to a member of a mainstream, traditional religion. When a person adopts a new religion, it says something about what's been going on in that person's life, and a shift from centering in astrophysics to obviously unscientific ideas about planets and energy looks very significant, but which way is it significant? It could mean this person doesn't adhere to real-world facts, but can also raise inferences that something terrible happened to her and changed the course of her life. Whether the terrible something was Neil de Grasse Tyson is another matter.

