Girls, How do you earn the trust of a girl/woman who is afraid of getting hurt?

Anonymous
She told me that she likes me and that she doesn't want to be my friend.
Because she's lost all of her man friends when they get gf's.
She lost her best friend, who was like a brother to her, and said something
about not wanting to go through all the pain again.

She said she's been thinking of and evaluating me, and that she feels I'm worth it.
She also said that if I started dating someone, she would stop talking to me. On the spot.
She promised me that.

She told me that she is insecure and paranoid. She asked me to understand her.
Didn't say why she is like that though. She said she doesn't trust me enough.
She's always overanalyzing everything I text or say to her. And then asks me to explain her.

Everytime we get close she pushes me away. Either by text or phone call. She's done it 2 or 3 times. She says stuff that doesn't make sense, blames me for things that SHE initiates.
I always text her again a couple of days/ weeks later and she starts making plans with me again.

We talked about us the last time we went out and She said: "She want's to be friends first, but is open to try it. If something happens between us, great! If it doesn't happen, that's great too! Just don't push or rush it". I accepted that. Because she doesn't treat me like a friend at all. The next day she texted me to cancelled our plans. I went No Contact immediately after her last text.

I broke NC after 2 months and she replied with neutral responses. "Hi!", "Great!", "Pretty good!" and never asked about me. I ended the conversation. I'd love to talk with her. But I don't want to bring the subject right away. I feel like we're making a mistake. It doesn't feel right to stop talking to her. I don't regret breaking NC after 2 months and texting her. It felt good. It still does. But I'd definitely love to talk with her about it and fix things. We had great communication, what happened?
Girls, How do you earn the trust of a girl/woman who is afraid of getting hurt?
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