Gojika

Olympia is the Gym Leader of Anistar City's Gym, known officially as the Anistar Gym. She specializes in Psychic-type Pokémon. She gives the Psychic Badge to Trainers who defeat her.

Olympia appears in Pokémon X and Y as a Gym Leader. She speaks in haiku. She frequently talks about fate and the future. Trainers who defeat Olympia will receive the Psychic Badge, along with TM04 (Calm Mind). According to the television show Gym Freaks, anybody who places their wrist into Olympia's bracelet will allow Olympia to be able to see everything in their future. It also states that the inside of her cloak is a galaxy pattern, creating zero gravity that increases psychic power.

(Source: Bulbapedia)