Is Wing Chun a good style of kung fu for a 13 year old girl to learn?

Wing Chun is one of the most scientifically sound of all the Chinese arts. It has less fluff than the other arts and is more efficient and to-the-point. The instructor's lineage traces to Yip Man, so he should be decent. As for whether it's good for you, you should check it out for yourself and see if you like it! Good luck :)