A 3.2 doesn't sound bad to me.
A little off topic, but I've only failed one class in my college career, and I'm the type of person used to getting As, and I took it again and got an A. (which I think it will be averaged to a C when I transfer?) and now I believe I have a 3.25 now. I'm not really sure what I'm getting myself into having registered for rush this fall, but I'm pretty confident with myself, my grades, activities. I'm transferring there, and I know that USA does have a lot of transfers. I don't see any reason not to be confident with a 3.2, if that's what you have.
But, then again, I'm not greek. I don't really know what sororities at USA are looking for specifically.