Who does the Red Queen represent in Alice in Wonderland?

In Through the Looking Glass, the Red Queen is a Chess piece, come to life.

The action of the book mimics a chess game, in which Alice is a white pawn, so the Red Queen is on the opposing side.

Despite this, the Red Queen bears no animosity towrad Alice, and treats her fairly well (better than the Queen of Hearts treats her in the previous book anyway).

In his article 'Alice on the Stage', Lewis Carroll describes how he imagines the Red Queen to be

The Red Queen must be cold and calm; she must be formal and strict, yet not unkindly; pedantic to the tenth degree, the concentrated essence of all governesses!