Interesting responses from each person.
As you can probably tell - I didn't get the girl - due to the situation, I thought it best to leave the game to be played by one of my work mates. I realised early on that it wasn't going to work with both of us trying to pick her up, and the remaining guy is a bit like Trixta's home mates. So for me to score I would have had to amog my work mates, which goes against one of my pickup rules...even for a 10.
But I posted this because I did question myself - could I have picked her up if I tried to? I'm not so sure...
Most people have said something along the lines of ignore the 10 and build acceptance with the 6s first. I think this is a good strategy. Still, the guy who was trying to pick her up and I were working somewhat as a team, and even he realised this had to be done. So we did ignore the 10 and give attention to the 6s. This worked well, up until a point - soon she just appeared not to really care about us. We didn't really have any (sexual?) value to her in any way. And the reason why that is - is because my work mate did fine with the group, but never transitioned to a personal interaction with her. You can only build so much fun/value/vibe with a small group, but if you don't address the 10 soon on a PERSONAL 1-to-1 level (i.e. isolate somehow), she will most likely burn the set.
I thought I'd share this with everyone because I also overlooked this at the time...when it may sound so obvious thinking about it from an outsider's perspective. It may sound easy to implement, too, but really isn't when it's a seated set. She was positioned against the wall so neither of us managed to sit next to her, and without sitting next to her, you lower your chances exponentially. Positioning is everything. Even if you did try to have a personal interaction with her across the group - it would be so difficult to get her to buy into your frames, because she won't want to look like she is to her friends.
Anyway - as a hearty addendum, it ended up a really fun set because credit to my work mate, he thought of what was one of the best pickup jokes I've ever played on a girl.
So this 10 looked like Cheryl Cole, only a bit hotter.
So when we sat down with them for the second time (we had moved to a lesbian set half way), my work mate points to one of the 6s as if she is really hot and goes:
"OH. MY. GOD. You ACTUALLY look like CHERYL COLE!!!"
And then I go..."WOW, OH MY GOD...that is SO CUTE!!"
Haha. The look on the 10's face was pretty funny
Anyway, thanks for the responses, I'll consider them further.