Page of Swords

The Princess of Swords represents the earthy part of Air, the fixation of the volatile. 

She brings about the materialization of Idea.

Princess of the rushing winds

She represents the influence of Heaven upon Earth.

She partakes of the characteristics of Minerva and Artemis, and there is some suggestion of the Valkyrie. 

She represents to some extent the anger of the Gods, and she appears helmed . . .

Suicide King

She stands in front of a barren altar as if to avenge its profanation, and she stabs downward with her sword.

The character of the Princess is stern and revengeful. 

Her logic is destructive. She is firm and aggressive, with great practical wisdom and subtlety in material things. . . .

VALIS?

It is hard to understand line 6, which "shows us one who does not serve either king or feudal lord, but in a lofty spirit prefers to follow his own bent". The explanation is that a Princess as such, being "the throne of Spirit", may always have the option of throwing everything overboard, "blowing everything sky high".

Such action would account for the characteristics above given for the card when well dignified. Such people are exceedingly rare; and, naturally enough, they appear often as "Children of misfortune". Nevertheless, they have chosen aright, and in due season gain their reward. (Aleister Crowley)