The White Rabbit doesn't work for the Queen - he works for the Duchess.
Character Profile of the Dutchess: “In her own kitchen [the Duchess] indulges in baby-beating and brutal candor…[but] at the croquet ground she is all sweetness, though not necessarily a bearer of light…In this episode, the Duchess’ motto is ‘Everything’s got a moral, if only you can find it,’ and she becomes more and more extravagant and nonsensical in her application of axioms to everything Alice says and does. When Dodgson makes a ridiculous character like the Duchess praise and practice moralizing in this manner, he clearly indicates his attitude toward didactism directed against children.” (91-92)
***Common Examples of Didacticism. Every textbook and “how-to” book is an example of didacticism, as their explicit purpose is to instruct and educate. Books written for children also often have a didactic intent, as they are often created to teach children about moral values. (Or immoral values.)