a stinky baby is simply someone in your friend group who either acts immaturely when it comes to din dinns or beddy baws, or someone who always complains.
You should always react to a stinky baby by saying "Waaaaaaaa" to mock them for being a stinky baby
Person 1 - "That Glenn character is such a Stinky Baby, is he really going to bed at 9pm?"
Glenn- "I'M NOT A STINKY BABY SHUT UP SHUT UP STOP NOOOO IM NOT A BABY!!"
Person 1- "WAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA"!