So we have some key symbols mentioned in his description as well as visible on the card itself. 

Blindfold or Hoodwink:

The term "hoodwinked" in reference to the blindfold is used in its archaic definition, to blindfold, rather than the more modern definition: to take in by deceptive means.  The blindfold on the woman is not there for purposes of deception but to heighten her awareness of her other senses.  This essay by Mason Brother Henry Taylor, written in 1923, explains the psychological, symbolic, and functional reasons for the hoodwink in ceremonial rites of their secret society. In reference to the blindfold featured on the 2 of Swords, this quote by Taylor is most appropriate:

Of the inward and constitutional lack of faculty, the Hoodwink is the fitting symbol. It stands for that darkness which is due, not to accident, or to tyranny, but to a lack in the soul itself, which the darkened one alone has the means to remove.

She has the physical ability to remove her blindfold herself, unlike the figure in the 8 of Swords whose hands are bound.  However, her hands are otherwise occupied with the two swords.  It appears that the darkness will not be lifted until she can resolve the issue represented by the swords.

The Latin code of gematria is a common means to explore the inner meaning of mystical writings and scriptures by use of numerology, specifically by exchanging letters and/or phrases with its numerical equivalent and is known to be used by secret societies in their writings. In this system, "hoodwinked" has the value of 1080. This is the female, or lunar, component of the number of fusion (1080 + 666 = 1746) and ascribed to the Holy Ghost.  If we use this numerical clue, we can then see why the figure is female and also why she is "hoodwinked."  She is attempting to hear the intuitive voice inside of her soul, often called the Holy Spirit by Christians, by temporarily blinding her sense of sight.

The Swords:
We know that Swords in Tarot indicate the mind, mental activity, communication, challenge, conflict, and the actions that arise from there.  In this image they are posed crossed with the points of the blade upward.  Symbolically upward pointing crossed swords indicate an active battle as opposed to downward crossed blades which symbolize the battle is over. Upward crossed swords can often be seen as a symbol of victory if the figure is holding the swords crossed over his head, but here the swords themselves are not crossed, but her arms are crossed over her heart in the sign of an X.  The X is the symbol for Chi in Greek which is the first letter in Christ and has long been used as a symbol for the Christ.  It is an ancient symbol of transformation and  is often seen as the position for the arms of a body laid at rest after death.  While some would attribute this practice to Christianity, one can see this same position in Egyptian mummies, which predate Christianity considerably. The X is the Egyptian sign of Osiris, the Sun God, who was later associated (by Christians) with Christ, the Son of God, so  the crossed arms of Egyptians were most likely in honor of Osiris, the Great Lord and signifying their own transformation into the afterlife.  The opposing thoughts or ideas represented by the swords are being held by a woman who is attempting to listen intently to her inner voice in order to be transformed in some way by the inner conflict.

The Moon:
The crescent moon in the upper right sky would ordinarily indicate feminine fertility, but at closer examination one can see the moon is not being reflected in its ordinary position for the waxing or waning moon whether one views it from the Northern or Southern hemisphere.  The points of the crescent never point southwest when it is waxing or waning, so it appears the moon is either being eclipsed here like this photo:  

Lunar Eclipse December 20, 2010

Or it is actually daytime and the sun is high in the sky and reflecting the upper portion of the moon:

Because  the 8 of Cups shows an eclipse quite clearly and this moon is drawn quite differently, I think this is a moon sighted during the daytime.  It is also a waxing Moon and therefore closer to the sun.  The moon is brighter during its newer phases and able to be seen during the day.  Mystery solved.    The waxing moon is symbolic of growth, manifestation, attainment, and gravidity.  The moon itself is symbolic of receptivity, intuition, illumination, passivity, psyche, time, transition, emotion, perception, mystery, wonder, shadow, balance, all of which can be seen in the meaning of the woman's challenge and position in this card.

The Number Two:
Two is the number of the Major Arcana High Priestess and if we place the cards side-by-side we can see the clear imprint of the High Priestess on the 2 of Swords.

Original Rider-Waite Tarot published by US Games 1999

The crescent moon is all over the High Priestess card, from the shape of the pomegranates to her crown and the moon at her feet.  The two swords echo the High Priestess' columns, which are said to contain the archived scientific wisdom of the ages.  The water behind the 2 of Swords is flowing beneath the High Priestess' feet.  The crossed arms of the 2 of Swords woman also echoes the cross on the chest of the High Priestess.  It could be said then, that the 2 of Swords figure is seeking the High Priestess' intuitive guidance and will take all the time it needs to take to get it.  The duality of the number two seeks balance and a means to incorporate the opposing forces into a whole.

Ok, so that was some really cool investigative work, but besides telling us what we likely already know, that we're stuck in an inner conflict between opposing ideas, how would this card help us move out of that place?  What is interesting about this card is though it is of the Swords suit, it actually recommends a very non-Swords approach.  Its advice is to turn not to the light of the sun, the rational, but to the reflective light of the moon, the intuitive and emotional.  Hence the imagery of seeing the moon during the day, to incorporate the intuitive with the rational.  The process itself is transformative because what results is a new thing, a new truth or idea that comes as a blending of intellect and emotion, spirit and reason, divined from the wisdom ensconced within you.

No telling how long one must sit in this stillness, in this uncomfortable quandary. It might be brief or it may last quite a while, but to remove the swords to their downward position to indicate the battle is over and peace reigning, we must must be willing to wait in quietness.  Sooner or later, that insight, the third sword, will break through.

Original Rider-Waite Tarot published by US Games 1999