F(24) and Me M(22), I need help dealing with avoidant and attatchment issues

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I want serious advice, she has avoidant and attatchment issues(shes currently not replying), but I really do care for her and I wan’t to prove to her that I can withstand her trials, we’ve been talking for a couple of months and I really like her and I think that she also likes me, but the problem is she has this tendency to avoid and cht connections when its getting closer, I know that she doesn’t want that but she can’t help but do that regardless, I really want to prove that I can withstand her, please help me experienced men and women of this community, I also want to hear about your insights, that would be greatly apreciated

TL;DR: I want to some advice on how I can effectively deal with her avoidant and attatchment issues, I really like her