Case 1: I'm not a creep but a bold man:

So I was chilling with my friends or I was focused on doing an important work or having an important conversation with someone.

Then she came, I looked at her & she was very beautiful.

I kept looking at her (face direction not butts or chest) why ? because I wanted to make that very important first eye contact.

And it happened she looked into my eyes & I kept looking then she looked down or into her phone. The eye contact was for may be 1 sec or even lesser than that.

Now what ? I go back to talking to my friends or to important work or conversation.

(Right now focusing on Eye contact stage so from here starts approach I'll talk about that later)

Case 2: I'm the biggest creep in my Mind then may not be biggest creep in her mind:

So I was chilling with my friends or I was focused on doing an important work or having an important conversation with someone.

Then she came, I looked at her she was very beautiful.

Now I started to get unsettle, what should I do ? should I talk? or should I not ? lots of things going in my head & since I'm a shy person or I'm an introvert I will mess it up.

With these all things in my mind I tried to take a peek at her, again & again & again then suddenly with her 6th sense she looked into my eyes & then I suddenly broken my Eye contact.

I looked down or somewhere else to show her that "Haha ! Nope I wasn't looking towards you" & I was fucking sweating.

I think following Case 1 is easy.

If you want to add something or write next stages please do.