Who is the Archetypal goddess in The Hobbit?

There isn't a single, clear-cut Archetypal Goddess in *The Hobbit*. The story doesn't focus on traditional goddesses, but we can see elements of various archetypes embodied in different characters and aspects of the world.

Here are some possible interpretations:

* Mother Earth: The landscape itself can be seen as a motherly figure. The lush Shire, the treacherous wilderness, and the majestic mountains all embody a powerful, nurturing, and sometimes dangerous aspect of nature.

* The Wise Woman: Radagast the Brown (though a wizard, not a goddess) embodies wisdom and knowledge of the natural world. He's often portrayed as eccentric and connected to the earth, making him a potential embodiment of this archetype.

* The Great Mother: The Valley of the Beornings and the River Running could be seen as symbols of fertility and abundance, reflecting the nurturing power of the Great Mother archetype.

* The Queen: The Lady Galadriel in *The Fellowship of the Ring* (which is part of the same Tolkien universe) is a powerful, magical, and benevolent being who embodies a queenly archetype. While not present in *The Hobbit*, she represents this kind of figure in Tolkien's world.

Ultimately, the archetypes are open to interpretation. Tolkien's world is rich and layered, allowing readers to connect with the characters and events on a deeper level, bringing their own understanding of archetypes to the story.