I have two experiences that are somewhat similar:
Scenario One:
Three years ago, I left my partner of 5 years, whom I truly thought I would marry, have a family, and spend my life with. Within 1 month of ending that relationship, I met a guy at a comedy show in my city and I felt what you felt about this woman: I saw him performing at a show and he had this energy about him that made me feel like I needed to get to know him. So a few days later, I went to another show of his and introduced myself. We went out the next night and started dating immediately. He asked me to be exclusive after about 2 weeks of seeing each other. While I acknowledged that it seemed fast, it felt "right", so I went with it. We crashed and burned and he dumped me a few weeks later. Although, we did actually stay friends and eventually picked back up into a casual, non-exclusive relationship that lasted over 2 years.
Even though we had a mutual understanding that our relationship was non-exclusive, we still spent most of our time seeing/sleeping with each other, with maybe a few others scattered along the way. We always came back to each other, but we weren't suited for a serious committed relationship together, at least not at that time.
I was crazy about him, we had a super strong connection and always gravitated toward each other any chance we got. Other people even noticed what we had; I had never felt that way about anyone; but he was indecisive and flippant and couldn't make up his mind about what he wanted, and I had not dealt with the aftermath of my failed, long term relationship to be able to commit myself to another person. I didn't know how to articulate what I wanted and needed in a relationship. He and I carried on for 2 years, and during that time I realized I needed and wanted more from a relationship. I couldn't do the casual thing anymore and I knew I was ready to commit myself to someone. He wasn't. He still isn't. We don't see each other romantically or sexually anymore, but we are still friends through comedy and are on good terms.
Scenario Two:
About a month ago, I reconnected with a guy I'd met back in highschool. We've been seeing each other since May and things are going spectacularly. He treats me exactly the way I need to be treated, without me having to ask. I was so surprised by how quickly we've progressed in such a short period of time and it doesn't feel rushed because we are on the same page about things and, more importantly, the timing is right. As strong as my feelings were for the other guy, this is different and on another level altogether. I am more into him than I ever was with anyone else I've ever dated because we are so compatible and we met each other at the right time for both of our sakes.
Now my point here is that you can meet someone who is a great match for you, they may even seem perfect for you, but the timing isn't right. Either it's not right for one, or both of you, but if the timing isn't right, the relationship is not going to work out. At least not long term. Clearly, you two met at a time that isn't right for either of you, and you are both mature enough to acknowledge that, and take steps to deal with it in a way that is both appropriate and healthy. If you were to ignore the fact that neither of you are ready, and you were to just jump into something blindly, I doubt it would end well for you. It's better, in my opinion, to decide mutually that the timing isn't right at this time, and seeking out relationships and hook ups with other people might be the right move for both of you, if that is how you feel. Another point I'd like to highlight here is this particular woman is not your be all, end all to the relationship game. It may seem like that now, because you haven't met another person you felt this way about, but that still doesn't mean she is the only one you will feel this way about, I assure you of that. When you have that type of thinking, you are limiting yourself from exploring the potential of relationships and connections with other people. There could be another fantastic woman right around the corner, and you will miss out on that opportunity if you keep your blinders on by thinking this one woman is your "one and only".
Now, it doesn't mean that if you two take some time apart to explore your individuality and explore the possibility of connecting with other people, that you're never going to be able to be together. You very well could end up together, but it would be a huge mistake to try and force that before you're both ready, especially if you have both discussed the fact that neither of you are ready for serious commitment. Having said that, have you explored the option of seeing each other on a casual, non-exclusive basis; or is that not a possibility for you two?
"Caring is not an advantage."