The girl’s surname is Yang, and her family name is An, so why should she be named after Yang An?

Angel Yang.

Qi: Qi (qí) is a Chinese character, which means beautiful jade or rare: ~ Huayaocao (the exotic flowers and plants in the fairyland imagined by the ancients)

An Qi: In English, angle is translated as Angel in Chinese, which means angel.

Hope it is useful to you.