No, dangit!! I get a Pi Phi first, then I can have an Alpha Chi!
I do know an elderly Pi Phi in town who has an Alpha Chi daughter my age, I could get one for her. Although the granddaughter will rush in the fall and is likely to pledge a third group.
I've read in Pi Phi information that the angel isn't official but I doubt that anyone will try to suppress it. It's not like you can find a ton of cute arrows around--an arrow's an arrow!