The Thoth deck Princess of Swords, represents the earthly part of Air. She is the function of the volatile, thus she is shown as a Valkyrie. With Her Sword of "volatile Mind" she cleaves away the dross, so the pure essence is seen as a materialization of Idea. Much like Michelangelo who was known for his perceptive chisel, that cleaved away what was not the image he saw in the marble.
The Princess of Swords and the Valkyrie, represent the influence of Heaven on Earth. There is a representation of the "Anger of the Gods" here, and she is helmed in a Medusa headdress. She stands in front of a barren altar, as if to avenge its profanation (The Human Soul is the altar---the profanation is "indoctrination of culture"), as shown by her sword stabbing downward. All around her angry storms rage in the sky.
The Archetype personality of the Princes of Swords is of a stern and revengeful nature. She is firm, aggressive and wields destructive logic with great practical wisdom and subtlety in material things. Her natural cleverness and adroitness in managing controversial affairs makes her a master of settling controversies.She would be a good ambassador. People thus characterized, may seem slow.mentally,crushed by every responsibility, especially when it comes to family affairs. We must remember that the Princesses represent the "Throne of Spirit", and that the Princess of Swords has the option of "blowing everything sky high"...she has that potency of mind,
If ill dignified her qualities are dispersed, she becomes incoherent, and all her gifts form into a animal cleverness, a low cunning, that is unworthy of the means.
Thankfully, such personalities are exceeding rare and they appear to be "Children of Misfortune" which seems to be the most unhappy of people. However, their Soul knows what it is doing, and sharp chisels are needed to "cut away the dross" so that the real beauty can be revealed.
Thank you for your interest and comments. May you live long and prosper!