Maybe shes just not ready and you need to let her do it when she gets older. Everything you've stated leads me to say. Your daughter is not ready. You are ready but shes not. Its ok for her not to look like all the other little girls or not fit in the mold. My niece didn't get her ears pierces till she was 11 because she was afraid to have them done when she was little. Her father took her to get her ears pierced and bought her a pair of screw back diamond studs for her new piercings. It was a treasured memory not something horrible she recalls upon. Mind you my sibling and I had our pierced in the hospital when we were babies. No memory nothing special about it. I say make it special don't rush her into something shes not ready for.