It all started two days ago, I was walking towards the stairs to go to the library. To my surprise, as I was walking I noticed an adorable girl and we both made an eye contact for a good 3-4 seconds. As I was walking up the stairs I turned my head around and again we both made eye contact. Nothing else happened, but I really wished that I approached her that day.

Today, I was in a room using a computer, and I see her again, again we both keep making eye contact, but I'm not sure if she's looking at me like "Why is this guy staring at me.." or is she thinking that this dude needs to stop looking at me. Also, I think I made her think that I was a creep by just looking at her after every few seconds. However, we did both keep making eye contact with one another. I really wanted to approach to her, and I was just on the computer trying to find something that would motivate me to go and say hi to her. So as I was leaving I see her next to the lift, we both notice each other, and she was alone, it was like the universe wanted me to talk to her. I should also mention that as I was leaving, I told myself "Come on man just go and say hi to her you got nothing to lose", so I ran back, and I go to the other side of the building (main entrance ) because when I left she was still in the second building. Anyways, I needed to get on the first floor. Usually, I take the stairs, but I decided to take the lift as I get to the first floor and the door opens I see her with her friends, and again we make eye contact, but she just continues to walk with her friend. I was just so surprised by seeing her I quickly forgot what I was there for and just went the other way.

Tomorrow there's an event where people come in and tour the building, and I'm pretty sure she's going to be there helping around. So, tomorrow I want to approach her (hopefully I see her again), and not seem like a creep when I approach her. I know they that in the first few eye contacts, you should just go and approach to show her that you're confident, but I didn't do that, and we have bumped into each other a few times, so she probably thinks I am not that confident. My question is how can I exactly approach her without making it seem awkward for her? Also, how do people get rid of that choking feeling when you're about to actually approach. Mostly, I notice it when I start thinking about these things in my head. Is there a way to kill this when you're going for the approach? Now, I'm on here on Reddit telling you guys my story and regretting that I did not approach her.

PS: Sorry for the long story and if you read all of it then thank you!