Yes, I am sorry but I found it somewhat funny when people where like KAIDO RESPECT GENDER or something WHAT?
NO
Kaido is written as the classic traditional father, this is a common trope in Japanese (and east asia I would say in general) of the whole concept of ONLY THE SON can take over. And then does not wanna have a daughters, its not about that he is happy his daughter calls herself a man becasue he respects her pronoun (even do Japanese language dont even really have that) its because shes like GOOD only a SON can take over Shogun title anyway.