If you haven't decided yet, let her know that you want to know how she feels but that you will be making the decision.
I just recently read an article on goal setting that suggested that we choose adjective instead of verb-noun, type goals. That might be useful here, rather than a pro-con list, how about brainstorming what kinds of adjectives an idea school would have, and also adjectives to describe DD's best self. Then you can compare what she has now, to the adjective list, and what you hope the gifted school might provide, to the ideal school adjective list, and back it up with what the adjectives on the DD's best self list.
Remember, you are making a thinking-person's commercial, not a decision list. You are explaining why she has to follow your lead here - even if it is hard! The key is that you may yourself have doubts, and it's hard to present a strong front when the doubts are still twrling around in there. Yes it would be easier if DD were excited about the move, but even though it's difficult, it's your job as parent to keep holding out the goals, and insisting that she give it her best effort.
My son is headstrong enough that I wouldn't dare be so direct with him about how he has to accomplish the goal of being in a challenging enough environment where he has a chance of becoming his best-self, but after hammering the point home in 100 different ways, he knows what my adjectives are and that he has to pick an environment that has a reasonable chance of helping him meet those goals. 'Not-afraid-of-hard-work' is one of my adjectives for him that he knows is a bottom line for me in my job as parent.
Best Wishes,
Grinity
