Well I don't know quite what you mean by a nickname but I can try to give you some ideas. What my chapter does is give out titles. They are printed across a sash, kinda like the beauty pageant ones, but instead of Miss Congeniality or whatever, we have DZ names. Some of these are passed down and there is one in every new member class or some are made up specifically for a girl. For example, mine is Miss DZ Sweetheart (because my big sis says I'm always really nice to everyone and you can always find me smiling, etc - I just love my big sis
) and this is a passed-down name. Some of the othernames I can think of off the top of my head are Miss DZ Butterfly (as in social butterfly), Miss High-Maintenance DZ, Miss DZ Sweet Tooth. But the one I was thinking sounded most like your little is our Miss DZ Bookworm, which was given to the girl who we could never find at chapter events because she was always studying in the library. So maybe you could use the Bookworm thing as part of her nickname or something? Just an idea
Good Luck!