I have been predicting and anticipation the conflict between Big Mom and Queen for several chapters now. However, I had envisioned their fight to well be more competitive than it ended up being. Basically, Big Mom lays waste to Queen. She swings him around and then slams him to the ground. Defeated but not dead Queen returns to his original form. I also predicted that the resulting damage would help Luffy and the prisoner in some way. This prediction turned out to be accurate.
When Big Mom slams Queen she accidentally free Kid and Killer from their torture. She also manages to break the cell door that was holding Kawamatsu. It is assumed that Kawamatsu was long dead so they won’t bother to find him. The Beast Pirates are unable to contact Kiado or anyone outside of Udon prison. Caribou explains how the Tanishi snail system works. Caribou is being helpful right now but he can’t be trusted. It’s in his best interest to be useful for the moment.
Big Mom finally gets the oshiruko. The pot turns out to be empty however. Luffy foolishly admits to eating the oshiruko. Predictably, Big Mom is not pleased. She attacks Luffy, destroying the ground surrounding them. Of course, Luffy and Hyogoro aren’t suppose to leave the ring without triggering their collars. In his desperation to save them Luffy uses Advanced Busoshoku Haki to rip the collars off. Big Mom decries that she wasn’t able to share the oshiruko with the villagers.
I believe that Oda is going to use this arc to give Big Mom a more of a character arc. With her memory loss she was vulnerable but is able to develop new and different relationships with people like the villagers. She almost certainly will get her missing memories back, but they won’t override the new memories of kindness she has received. Finally, in order to get Luffy to master the new Haki, Hyogoro tells Luffy he needs to train by fighting with Big Mom.