Me [20M] accidentally broke my friend's [19F] heart.

I posted about this a while back, but I feel like maybe I still need more advice and I may have neglected some pretty important details the first time round so here goes the full uncut story.

About 3 months back, I broke up with my first girlfriend while I was attached to a company for my school internship, and it hit me really hard. I went around looking for bars/clubs, and blew a ton of money on drinking to keep the pain in check, and I couldn't focus at work, not even the slightest. We kept in contact throughout though, as much as it hurt me, I still couldn't bring myself to cut her out completely.

About 2, 3 weeks of this goes by and then I happened across an instagram account of a girl who had the same last name as me, and I thought maybe this is a sign I should move on, so I chat her up and exchanged numbers, then we agreed to go out together. I let her know I just broke up, and she was okay with it, we even went out drinking together a few times. After 3 weeks or so of going out and everything, she confesses to me that she has feelings for me.

At this point I didn't know what to do, so I asked her for some time to think about it. She did make me feel way better than before, and I totally enjoyed being with her whenever we went out, so I thought to myself "It's time I moved on" and then told her that yes I liked her too, and so we got together.

However, slowly I came to realize maybe I was just using her as a temporary solution to my sorrow. I really started to think things through again, and when she questioned why I didn't openly hug her, or hold her hands and all that, I realized maybe I just wasn't comfortable doing all of that with her. So I called her out, and explained to her my stand, and apologized to her, but hoped we could stay friends. She seemed to take it well, until later I got home and found out she had been exploding and throwing a tantrum on instagram saying I had been toying with her.

I did not know how to react, so I tried to at least contact her, but she cut me off completely and now its been 2 months since we last talked. I want her back as a friend, because I really liked going out with her and having a whale of a time, I just don't have romantic feelings for her. Where do I go from now?

tl;dr: met a new girl after breaking up, got with her then realized I don't really love her and I want to stay friends but she's blocked me everywhere and now I'm feeling really guilty and need some sort of closure.