The Two of Swords as How Someone Sees You: Closed Off and Undecided
The Two of Swords as how someone sees you means they see the blindfold. Here is what the picture includes, upright and reversed.
If you want the short answer, the Two of Swords as how someone sees you means they see you as closed: guarded, undecided, arms crossed over your heart, someone who will not let them know where they stand. It is a frustrated picture. The person may be waiting for you to take the blindfold off.
This is you as the blindfolded figure with the crossed swords. They see the guard. They cannot see your eyes.
The Two of Swords upright as how someone sees you
Tina Gong's the Two of Swords guide at Labyrinthos associates the upright card with indecision, stalemate, a difficult choice and avoidance. When the card lands in a position that asks how someone sees you, I read those meanings as the image the person holds of you, which is not the same as who you are and not the same as what they feel. the Two of Swords as feelings covers what they feel; the Two of Swords as intentions covers what they plan. This page covers the picture. The general card meanings at Biddy Tarot are a useful second reference.
Upright, I read the Two of Swords as a person who sees you as unreadable and torn: someone who is holding something back, maybe a choice, maybe a feeling.
What I would not read into it is coldness. They may see the guard as protecting something.
What the card does not tell you
The card does not confirm the person thinks you do not care, only that they cannot tell. No card lets a reader see inside another person's head. What a card can do is describe the kind of image that fits the person's behaviour toward you, and give you something to check against how they actually treat you.
The Two of Swords reversed as how someone sees you
Reversed, the Two of Swords as how someone sees you means they see you opening up, or overwhelmed, making a choice at last.
In your own question, ask whether you have been clearer with this person lately. A reversed card here is a prompt to notice whether the picture the person holds has gone sour or gone wrong, not a verdict on you.
The Two of Swords as how an ex sees you
Asked how an ex sees you, the Two of Swords suggests they never felt they knew where they stood with you. That is often the regret they carry. My guide to asking a psychic whether an ex will come back explains what a reading can and cannot say about that question.
The Two of Swords as how a new person sees you
For someone new, this card means they cannot read you. One honest sentence changes the picture.
How to check the picture against reality
Look at whether the person asks what you think and gets a vague answer. That vagueness is the picture.
What to record before drawing again
Keep three short notes: the question you asked, what you are holding back, and why.
For comparison, the High Priestess as how someone sees you and the Seven of Cups as how someone sees you describe different pictures. The the Two of Swords card meaning page covers the card in full, and the Two of Swords as a yes or no and the Two of Swords as timing cover the other questions people most often ask of it. For a personal interpretation, my guide to a love psychic reading online explains how I work, and the three-card tarot listing and customer reviews are worth reading before deciding whether to order.
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