I Can Be Socially Awkward Sometimes

So I was reading in the campus library, in a a booth while waiting for one of my classes to start when i see a really cute guy pass by outside the window I'm next to. He looks at me and I look at him for a second before turning my gaze away and report back to my boring book. Minutes later he stands right next to me and asks if he can on the other side of the booth. Of course I said yes, I tuned red immediately and my heart was beating pretty hard rn. Next thing I know is that I keep looking at him, wondering why the hell he is sitting across from me instead of the other booths. Were they taken? Or did he just want to sit near me? I only said one word to him, and for the rest of the time it was awkward silence. I get up because my class was in 10 minutes, and I stand up expecting him to look at me for some reason. And then he does the same and we don't even look at each other and we simply go our own way. Why was I so awkward. I could have asked him out, I could have at least asked him for his name. I hate my social anxiety it ruins things like this for me. :(