Girls, Is this normal behavior of a broken woman that given up on love?

I have this friend who always smiled and laughed at everything I do and say for a year. To the point her boyfriend at the time got mad at her but tried to be friends with me. 1 year later of not talking as often as we used to. We are both single. I started flirting with her the first 2 weeks after we meet back up. She didn’t believe me at first. After consistent flirting and affection she started to believe me.

I told her everything that I liked about her in great detail and I told her how I can tell something personal is bothering her but I just don’t know what. I also can tell that she’s used to looking out for others and not having no one to look out for her. That I would be that person.

I took her on a date. We had a great time. She mentioned our next date. Now she’s starting to open up and also be affectionate. She’s very observant at everything I do. Even when I don’t think she notices. She will open up to me and be affectionate and loving. Then the next day she’s not as affectionate/stand off ish. She still interacts with me. But she mentioned how she doesn’t trust any guy. But I can tell she still stays close by me. Just doesn’t want to be bothered but close to me I guess.

is this normal for someone who been through heart break in a relationship and from family members letting you down?

Girls, Is this normal behavior of a broken woman that given up on love?
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