I feel suffocated by my clingy girlfriend. What should I do?

I have been dating this girl for a month now. She is really cool and the sex is great. However, a couple of days ago I spent about 48 hours straight with her. This was an extreme overload. She spent two nights at my house. I'm thinking this much time together was a mistake this early in the relationship. It was to the point where I was incredibly annoyed by her presence. She wants a lot of hugs and kisses and is always looking at me like she worships me. I think shes pretty cool but she is obviously more into me than I am into her. I told her I was feeling like I needed some space and we had a vague talk about whether the relationship would work. We're still together but I feel like having time to myself. This being said I am apprehensive that I might be wasting a chance with her. She is probably the sweetest and most thoughtful girl I have ever met and she has a good heart. She's just too into me at an early stage and I feel trapped and claustrophobic. What should I do? This situation is really stressing me out. By the way I'm 22 and she's 21.