This is how I would describe and define my people skills:
Ever since I was young I have taken an interest in people, in the way they work, in why they do the things they do.
I have always been attracted to observing and understanding why people act in certain ways, and what triggers people to feel how they feel.
A lot of this has also stemmed from my own ongoing attempts at understanding myself, who I am, and why I am the way I am.
Believe it or not, but there is a whole lot of thinking, theorizing and problem solving that goes into understanding human nature.
And, empathy and compassion as well.
Having people skills, or caring about people and human nature is not a trivial or superficial pursuit.
I have found that people like people who are sincere, and that people like people who listen to them and withhold judgment. People also like people who they feel as though they can easily connect to and confide in.
I am very open and nonjudmental (in the classical sense) when dealing with people, and I believe this pays off.
But if you feel alienated from others, so different from them that you feel as though you don't even speak the same language or live on the same metaphorical plane, I can understand how it would be difficult to engage them, or be engaging to them.
I dunno, my father had horrible people skills, and generally detested most people.
This is why he went into the field of radiology where he could, for the most part, be left alone in his office in a hospital basement assessing and diagnosing fractures and diseases from inanimate x-rays into an inanimate dictatphone.
So, there is hope, not all jobs require people skills.