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As for your advice that the man should always make the first move, I agree, for the most part, but if there's one thing I've learned about exceptionally beautiful women in the past, it's that any attempt to speak with them is instantly deemed an attempt to gain their favour (with rare exceptions). I realise that if one takes care not to appear needy (or , better yet, as in my case, is genuinely not needy), she will be less apt to view your intentions with suspicion, though I still feel that she shares some responsibility in initiating the conversation.
Ah, that is a good point that I had not thought about. She probably will see you talking to her as an IOI, but I think if you slightly neg her, and treat her as a bratty little sister, or an old friend, that she will become more comfortable. I think at this point, you need to build comfort with
slight kino while at work...be careful to keep this appropriate at work!! We don't need any fellow PUAs getting a sexual harassment law suit because of kino!! But you sound intelligent enough that you already know that, so I'm not too worried.
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And as for calling her out on the constant glaring, I'm very wary of bringing this up explicitly, if only in a joking manner. Despite her beauty, she seems a bit insecure.
Also another good point and very helpful observation. For this one, you will definitely have to feel out any negs that you give her, and make sure that they are not too harsh. I guess negs are only needed for cases in which the girl starts thinking she already has you / is starting to get cocky, so use your instincts on this one.
Quick story: I learned something about the beautiful insecure type last weekend. There was a tall girl (~6'1", HB9) who was wearing a Teenage Mutant Ninja Turtles tee-shirt at a bar, one of my favorite childhood cartoons. I took the opportunity to say, "Hey tall girl, nice shirt," to which I promptly got blown out because she was apparently insecure about her height. I had honestly never thought about it, but I guess the point is to be careful when negging someone, and try not to pick on their insecurities.
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Perhaps I should just be a bit cheeky, and re-introduce myself the next time we meet? "Hi, I'm Sean. And you are...?" etc.
You can take this approach, but I personally would not. That is a definite IOI from you to her, and she may take that as a sign that you are interested and back off. I would stick with light conversation. If you don't know her name, find out by other means. It's not important what her name is until you get her outside of work anyways. Either let her ask for your name, or just get her name and number when you have agreed on going somewhere outside of work.
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What do you think about the prolonged eye contact? Is this not proof positive that a girl is attracted?
Yes, definite IOI. From what you've told me, there's no need to question if she is attracted; prolonged eye contact always tells me that I should open a girl when I see her. This doesn't exactly apply at work, but don't worry about if she is or isn't attracted, just assume that she is.
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Would it be better to let an opportunity to meet her outside of work arise naturally, or should I bite the bullet and ask her outright next week?
Both. Make meeting her outside of work come up naturally. I would definitely not directly ask her out on a date, though. I would mention something about, "a few friends and I are heading to [this cool place] on [this day], and you can tag along if you're not busy". This way, it's no big deal if she says no, and you can do this a few times being able to be rejected.
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For all I know, she's terrified of dating a guy from work, and having everyone else find out about it. Personally, I couldn't care less, but a girl of her status may be unduly concerned about her reputation there.
This is something that you can find out as you get to know her, and build rapport. It doesn't really matter either way though, because you are the exception to the rule.
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Should I not wait for her to initiate a conversation for once? Or should I treat her constant staring as invitation enough?
Initiating conversation at work shouldn't really be a big deal. Just find time in your daily routine to make some comments to her / around her while you are working. I think inconspicuously going on break just before or after she starts her break would be a great time to build more rapport with her, and generally fluff, or run game on her. But I think the main objective at this point is to get her to go somewhere with you outside of work. Once you do that, you can just run your game on her, and it should be easy(at least easier than some random girl) with the rapport you have already built from work.
Best of luck, and keep us updated. Don't hesitate if you have any more questions/comments.