I agree with REE. Is there not already some sort of drama or performing arts group on campus with which she can affiliate? Even if she still wants to establish a GLO that's theatre-based later, she could make some good contacts that way and stir up interest with them.
Establishing a chapter of APO or any other service GLO is an entirely different animal. If her heart is in performing before serving, then don't try to force it on her.
Regardless, it sounds like your daughter is still fairly new to college and her campus in particular. She needs to settle in more before trying to start up something new; there still might be a niche she can fit in without having to dig out her own.