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Girlfriend walked away, destroying my trust in her. Please share your opinion?

Hi, so here is the context. Last Tuesday I was going to confront my gilfriend's gym trainer. She had told me that in previous months he had been bothering her saying things like "Hey how's your boyfriend, I bet he's cheating on you" or "Hey I haven't seen your boyfriend, he's probably out with other girl" this was every day for months, and she confessed to me she didn't do anything about it. This bothered me a lot, it was clearly wrong what this guy was doing, but also my girlfriend's personality is not one to just let herself be abused like that much less by a guy. But I thought "Maybe I just judged her character wrong and she doesn't know how to handle this situation", and I told her I would go talk to him, to which she agreed.

We had had a previous fight over her having thousands of men just her "type" added on facebook, and I catched her lying to me so my trust in her was already low.

I work at night, and this trainer did too, so I had to wait until I got permission from my job to go talk to him. I got permission in 2 weeks, and when I went pick up my girlfriend I said "Hey wanna talk to this trainer of yours today?" But she was adamant, she said "No, I dont want to" over and over. So I said "Well, you can stay in the car while I talk to him and come back" but she didn't want any of it "No, no, no I don't want you to go either". To this I asked why, to which she just clammed up and said that she wanted to go home, away from me. So I parked near her gym and went looking for this guy, she in the meantime got down to and walked away in the opposite direction. When I entered this gym and asked for him the receptionist told me there was no trainer with that name, a name my girlfriend had told me.

I was appalled, I couldn't think of anything else but about how the way she was acting was as if she was hiding something. Like if I talked to this guy I would know something terrible that I shouldn't know.

She messaged me 2 hours later to talk... continue in comments.

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CONTINUATION (Sorry for the text wall)
She was in a park close by, in her message she knew she had done wrong and asked me to at least say goodbye in person to her before breaking up. Once I got to the park she did not apologize, I had to try for hours to get her to talk, and finally that she walked away because she was afraid I would yell at her, even hit her (which I have never been even close to doing). Apparently her therapist told her I would hit her. I dont know what to do
Girlfriend walked away, destroying my trust in her. Please share your opinion?
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