Too early to be exclusive?

[dude12]

Ok, so long story short, I just moved to a new area and met some woman who lives across the hall from me in our apartment complex. Due to the close proximity, we had been spending a lot of time together. She would hangout at my place for hours and I would hang out at her place. We were also going out with some frequency to bars and restaurants, just she and I, and occasionally we'd meet up with some of her friends. All of this took place within the first two weeks of us meeting. On that weekend during the second week, we went out to a bar, and we had sex afterward. We went on to have sex every night for the next 4-5 days after. I had never previously had sex where I wasn't in a relationship, so this was new to me. Due to developing feelings and not contracting STDs, if I'm having sex with someone, I want it to be exclusive. So, the day following the last night we got together, I asked her, "Where do you think this is going?". She replied that she wanted to take things slow and did not want to be exclusive. When she asked me how I felt, I replied that I felt "differently." It's been a week since this has transpired. I felt really bent out of shape afterward, and since we're neighbors, it made it awkward to see her. However, after a couple of days of awkwardness, she's been asking if I want to hang out and we've been spending more time together, but without the sex. I do like this girl, but I'm not sure where I stand or how to proceed.