The "(🌸◠∇◠)づ" emote is a Japanese-style emoticon commonly used to express a feeling of warmth, affection, or love towards someone. It features a face with closed eyes and rosy cheeks, surrounded by flower petals, and with two hands forming a heart shape. "She prefers that way" is not an emote but rather a statement indicating that someone has a preference for a certain situation or outcome.