I think the more you talk about it the more fearful she may become. We had some dental work done on my granddaughter and my grandson at different times. We made doing this sound really okay, like it was not big deal. Didn't talk about it in depth or anything like that.
She went into the waiting room with her gown on and when they came to take her she went with them just fine. Came out, woke up, wanted to know if we could go eat.
He got up and went off with the doc both times. When he had his Ear Tubes put in the used gas and it was the worst experience ever. He woke up screaming and screamed for half an hour after we left the surgery center. Once the gas was totally out of his system he was fine.
When he had dental work they used actual anesthesia and he woke up like our granddaughter. He was ready to go play right then.
So the experience was different with the boy both times due to the procedure itself. She knows you love her. She may want day, she may want mom. She may even want grandma or grandpa instead.