Big Mom will lose here, I've been saying this since the beginning of Wano. But kid and Law will not take her down, I'm 100% sure about that. And you know why? Because this story is written by Oda, that's fucking way.
Stop the cap. Luffy has absolutely zero beef with BM this arc. She turned all her anger onto Kid the moment she fell off the roof.
Kid is Luffy's rival, that is nearly just as important as Luffy beating Kaido right now.