Honestly, she's not that into you. It sucks, but the sooner you realize that, the easier it is to move on. People don't say things like that to people they really like. They just don't. That kind of thing only happens to people in movies, and desperate, hopeless romantic folks who live in fantasy land. If someone likes you, they let you know. There's no guessing games, or stupid lines thrown around to ease you into rejection. It's so much better if people would just be straight up and say, "look, I had a good time with you, but I didn't feel the connection with you that I was looking for. Best of luck to you"... that's so much easier to handle than the ambiguous, "I need time/space to sort out my life" blah blah blah. It hurts more because you're left feeling there is some slight chance at hope of something happening down the line, when that's most likely not going to happen. And by the time you realize they're didn't mean what they said and they're never going to reach out to you, you could have spent all that time moving on and finding someone else to date.
I suggest you start focusing on moving forward. There are plenty of people out there who you can connect with, and hopefully they are ready for the same type of relationship you are ready for, and they want to have that with you.
"Caring is not an advantage."