The "Σd(◕ω◕)" emote is a cute and playful expression typically used to convey surprise, excitement, or happiness. It features a small character with wide eyes and a smiling mouth surrounded by a halo of sorts. The "Proud coach" emote, on the other hand, depicts a person holding up a trophy with one hand while pointing at it with the other. This emote is often used to celebrate a victory or accomplishment, particularly in sports or gaming contexts. It can also be used more generally to express pride or admiration for someone else's achievements.