I think I could have written your request! The only difference is that my daughter is 12. She isn't in the gifted/talented program, I've never had her tested. My oldest daughter was in the GT Program in my town and I wasn't thrilled with it. She ended up being more bored with the GT program than with school, but she had a fantastic teacher who gave her papers to grade and extra assignments that she knew would interest her. She had her tutor a boy in reading. And they became great friends. I absolutely loved that teacher!
Anyway, back to my 12 year-old. I can tell her to take the garbage out and ask her to repeat what I said, she repeats it to me, but then 20 minutes later hasn't done what I asked. The best thing that works for me with her is to give her a chore chart, I found one to buy at Walmart and our local IGA store has them too. When they complete each chore they can either initial the square for that chore, or put a small round sticker on it. The stickers work best for my daughter, and I let her pick them out. The chore chart is on the fridge, with the stickers in a decorative bowl on top of the fridge. This really works for us. She knows that she can't go to friends or activities until the chores are marked done. And believe me, she is one active girl, with a group of best girl friends that is amazing! I think there are about 10 of them all together. (I once took 5 of them to the mall and had a blast!)
I don't know if you have tried this with your daughter, but it does work for mine. Honestly, I still sometimes have to remind her when she gets home from school, but she will get right to it when she knows that her friends are going to be calling her or coming over. Also, I added one chore onto the chart (which it has room for, thank goodness!) that is a lifesaver on school mornings. I added "Prepared for morning" which means that she has to have all of her books, homework, bags, etc., ready to go by her coat rack. That has saved me so many late mornings!
I wish you the best of luck. Your daughter is lucky to have a mom that cares so much about her. She sounds beautiful and brilliant. What a fantastic combination!