Obviously the first theatre is where all her friends (including boys) are going to be. At this age friends are EVERYTHING.
Family is just secondary. I know since I went through 2 teenage daughters. I didn't believe my friends when they said that girls loose their brains during the teenage years. I had to learn the hard way. The only consolation is that they get their brains back about age 22. Now that my oldest has a daughter of her own Mom is not so dumb. I keep thinking of payback in about 13 years.
My only suggestion is to give her some chores to make up the difference.