She, my female friend doesn't feel safe with me while going out!

We met in college as friends in Jan 2019 and we are friends in-person. We discussed academic stuff (projects, internships, jobs, assignments) and life in general. I asked about this to her, she said that I am too unpredictable and so she doesn't feel safe and trust me in these matters of going out with me although she added that she trusts me in other matters.
But she goes out with a one of our mutual friend (she travels with him through plane, cabs, metro. The mutual friend's parents and her parents know each other quite well so that might be the case. I have never introduced her to my parents although, I have had 2-3 conv with her parents).

/r/socialskills Thread Parent