Hinduism was a Human religion, considered one of the primary faiths of Earth. It might be symbolized by the Om.
Hinduism was one of the Earth religions used to cobble together a new religion by the Humans of Terralysium. (DIS: "New Eden")
While visiting Earth during the mid-22nd century, Doctor Phlox became familiar with Hindu faith, among other Earth religions. This later allowed him to compare the belief that the Great Plume of Agosoria represented the continuing cycle of creation with the Hindu faith belief that the universe went through repeated cycles of rebirth. (ENT: "Cold Front")
On stardate 44390, the Hindu festival known as the Festival of Lights was noted in the personal log kept by Data. (TNG: "Data's Day")
Lieutenant Rahda, who served on the USS Enterprise, wore what appeared to be a bindi, a decorative dot mostly but not exclusively associated with Hinduism.
A deleted scene that appeared in the script of the Star Trek: Deep Space Nine episode "Shakaar" mentioned a Federation starship called the USS Garuda, a name shared with the creature of Hindu mythology.