this happened at a coffee shop today. I am trying to find out where I went wrong:

girl was talking to her friend in Russian. The friend left. I told the girl a word in Russian. she said "oh, very good"
then we started talking about her nationality and how long she has been here. I told her she speaks perfect english and she seemed to love that. then I asked her what she studies and she said accounting. I said "so you are boring?" I dont remember her exact words but I think she didn't like that part, she felt like I was judging her, I think based on her body language. then we continued and I told her I took an accounting class in college and I hated it, she said it's not hard, I said you are right, it's not hard, it's just a lot of laws that you have to know.

then we reached that awkward moment where I dont say anything and she doesn't say anything. I call this the "let's get back to work" moment. so she got back to work and I got back to work.

at this point, I wanted to restart the conversation with her but didn't know how. After 15 minutes, these loud and obnoxious guys came in and sat near us. they were talking very loud. so I got a piece of paper and wrote on it "so what do you think of these guys that are sitting here? be honest"
and gave it to her. I never heard back from her. got completely ignored.

one mistake that I think I made is not getting sexual. I was too afraid of offending someone so even though in my head I was telling myself "go sexual. go sexual" I didnt do it.

what else did I do wrong here?

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I have not failed 10,000 times. I've just found 10,000 ways that won't work. - Edison

Not verbally escalating- she could probably tell you were just making conversation and not moving it forward.
Also when she talks accounting try to build connection.

(Watch 'good looking loser' video)
http://www.youtube.com/watch?v=VmWGes7zeNs

sounds like you were to caught up in your head and after the comment abut accounting kind of went wrong you sputtered out and wasn't able to take it forward. Does that make sense?

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We are what we repeatedly do.
Excellence then, is not an act, but a habit.

Reopen. Awkward silences do need to be broken. Just wait long enough to see if she will do it, if not, you do. Do it a couple times and if you still have no rapport, then just go about your business. Don't take it sexual until you are comfortably talking already.

If you are doing it right, they should get nervous and hard to talk to. Unless you have the experience and confidence to do all the leading when that happens, avoid it. It's death.