Why won't my cat let me headbutt her?

Anonymous
She is a nice cat. But she is a bit of a loner. She likes to get under the bed, in the closet, or in a space behind the wall sometimes so I assume she likes her alone time. But sometimes she comes and looks me directly in the eye and meows, which I always interpret to mean "pet me" or "feed me" as one or both usually do the trick. But I heard somewhere if you headbutt a cat gently its a way of showing them you love them, so I tried to headbtt her but she always turns her head away. And I also tried to look her in the eye and she turned her head again. I thought it had something to do with her personality but maybe she doesn't like me?
Why won't my cat let me headbutt her?
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