"The woman says that she wants to eat rice."
Translation:A mulher diz que quer comer arroz.
Not exactly. Duo's sentence omitted "ela" in the second sentence, so it probably means it is the same person (the woman wants to eat rice). If you add "ela" in the second action it also means "the woman wants to eat rice" or another person but her. Then, it will depend on the context ;)