We went to the Winter WOnderland in one of our closest cities (Milton Keynes) a rew weeks before Christmas. It was in the large exhibition space at the end of the shopping centre, so we didn't need kids to get in
I don't want children myself, but if I could have conjured up a 3-7 year old just for an hour I would have done. The carousel, the helter skelter, Santa's train... all wonderful. And the shining eyes, and the Dads running to get into position to take photos from the best angle. My parents had to drag me away.
Your daughter looks perfectly sanguine on the ride. I hope she will give her Daddy the pleasure of hearing her scream on a rollercoaster one day!