Do you think it is okay if I don't change my daughter's diaper?
Why would you not change your daughter's diaper?
Being a father is not about changing diapers.
Both fathers and mothers are expected to take care of their children, including changing diapers. If you don't change her diaper should could become very sick, and even be removed from your home. I think it would be best if you changed her diaper.
It's fine, I can make my wife do it soon.
You shouldn't leave your child in a dirty diaper for a long time and expect your wife to take care of the mess. I know it can be gross to change a diaper, but it's the right thing to do.