I genuinely had no idea who she was before reading this thread so can't comment on that side except that it would be interesting to know how they came to the decision to choose her for it.
It just looks so amateur though. Cameo is to wish people happy birthday or see who's dumb enough to say hello to Mike Hunt, not for what should be a serious competition in a professional sport. You even have the final two sides picked out at the same time!
Getting 'a name' to do the draw is a solid idea but surely there were better ways of going about it. As an example TNT commentator Darren Fletcher has some history with the sport, could he have been asked and maybe got someone like Ally McCoist to help out, if I remember correctly he's mentioned Glasgow on his radio show in the last year or so.