Girl Insists on Trying to be "Just Friends"

I'm having a frustrating issue. I was very specific up front with a girl about not being "just friends" with her. She keeps trying to make me her friend and I don't want that, not with her, not with any girl, it's a very unpleasant experience to me because I almost always want her. This case is no different. The question is, should I just stop talking to her and push her away if she doesn't stop or is she just trying in an odd way to get closer? Odd situation for me. I'd love to hear your answers.
Girl Insists on Trying to be "Just Friends"
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