I would advise that you wear a soft gold eyeshadow with an undertone of green as it will reflect nicely with the dress. Stay away from bold eye-lining and I would advise using white eyeliner on the insides of your rims to keep the look soft.
Light gold/ champagne
Or a super pale lilac <-- my best suggestion
Personally i would opt for brown and gold smokey eyes x
wear blue witha little white or blue with a little black depending on the darkness or brightness of the turquoise dress,green and blue would be nice, nude would also be pretty good as well.
Stat away from bright bold colors, since youe dress is bright and bold already. I would recommended sticking with neutral colors like soft browns, nude, whites, and soft golds. Also you could even try maybe sone soft pastel colors like a sea foam green, or baby blue