If she doesn't ask your name after you ask hers does that mean she isn't interested?

She seems to be interested, she would keep glancing over at me multiple times when we saw each other. Sometimes I would look at her and she would glance away. one time we walked past each other and made eye contact and she gave a small smile without showing teeth. One day she was very busy working on something, I saw her and I asked her name, she just said her name but didn’t ask for mine, we had no time to talk. But she looked down and kind of smiled after I asked. If a woman doesn’t ask your name after you ask hers, Is she not interested? I don’t know if she is just being friendly.
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+1 y
She seems like she is very friendly to everyone
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+1 y
She would keep glancing over at me multiple time we saw each other for the first time. Now she just looks at me sometimes
If she doesn't ask your name after you ask hers does that mean she isn't interested?
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