Considering she's like this for most people, it probably cuts down on her social situation immensely. Even if she meets an uber-Alpha Male, she's not likely to stay interested for long. Probably he'd ditch her for being so boring.
Accept that she has lousy social skills-- maybe worse than your own, even, and play the lead whenever you're around her. Tell yourself that you're teaching HER how to have a real life, which she probably doesn't.
I have/had a lovely client who's a genuine ice queen. What's interesting is how people were telling me from Day One that I should ask her out.
She doesn't have a real life.
I hadn't discovered the PUA community, so I had no idea how to approach her. One thing that held me back was that she'd been working in her business for years, and I was just starting out.
By the time I felt like I was a peer-equal to her, I also had found David D and Ross J, so I decided to use her for practice. After all, I wouldn't get anywhere with her.
Wrong! We ended up on a number of dates, more like appointments, really. It would be impossible to pull her back to either of our places. I was getting attached to her, too. She's actually a very sweet person.
One time, saying our Goodnights, I confessed how I'd had to make some mental adjustments before I could ask her out.
Her response blew me away, she simply asked "What for?"
That's when it hit me, the lesson the PUAs all try to teach us is that the ultimate *game* is when you no longer NEED *game*. In her eyes, I was already there!
Sometimes I run into the same lack of confidence you feel, when I have to tackle a job I'm not sure about. I keep telling myself "I KNOW HOW TO DO THIS". It always turns out okay.
My client turned into a crash&burn finally, and today she barely talks to me. I no longer work for her, either; long story. I still bust on her and make jokes, which she doesn't respond to. The owner of the place told me, she's like that for everyone. He and his wife tried to invite her to dinner, since they're neighbors, and she declined.
What it does for me is, I feel a lot more comfortable now around her. She feels less comfortable. I think she wonders what's coming out of my mouth next. I haven't learned how to be "On" whenever she's around, so I'm always thinking of something witty after it's too late. I don't always remember to use it the next time, either. It's fun to mess with her, since she's so proper and dignified all the time; I want to see what it takes to get a rise out of her. One time, she came by the arena, leading her horse and carrying her little riding whip. I said, "Mmm S___, you don't know what that does to me!" She looked puzzled, and I said, "The whip!" She didn't respond. I do that kind of thing whenever possible.
I'm not shy around her, either. I'll move up against her, talk close to her face, give hugs and whatnot. Most ice queens don't mind this; just don't go pawing on them.