Didn't text for a week.....boom, relationship over.

I asked a girl out and we started dating. The sex seemed to start right away and she seemed like she was fine with it. We were able to talk afterwards about anything. A month into the relationship I asked her on a date and after the date we had sex and went to bed without really talking. I have a huge guilty conscience so I felt like a dick for the next week or so because I didn't have any money for dinner because I forgot to transfer money from savings to checking. She paid for it all and then the sex afterwards was good but there was no talking at all before going to bed. For the next week I didn't send her any texts, and got no texts from her and then I thought we were going to hangout the next weekend so I texted her on Friday asking what the plans were. She then breaks up with me. We hung out this weekend and I ask her why she really broke up with me and she said it seemed like I didn't want anything to do with her but have sex because of the lack of texting for a week. I totally see where she was coming from and I feel like a total ******* asshole. I told her that that week I felt like a dick and I know that I ****** up a relationship that could have been. Is there any way to make it up to her and to get her to realize that I would never use her for sex and I love when we just hangout and talk. I just didn't want to seem like a ***** by not advancing.

TL;DR: Didn't text gf for a week and she broke up because she thought I didn't want anything from her but sex. Any advice/input is greatly appreciated. Thanks in advance.