Hi SpoiledAngel!
Well, I'm not sure what exactly to tell you about the University of Kentucky, but I'm a Tri-Delt at NAU so I can tell you a little about us!

During rush, we look for girls that can actually carry on a conversation with us! You wouldn't believe how many girls just sit there not saying anything! And we want girls that are down to earth and seem comfortable with the girls already in the house. Basically, just show them what a cool person you are and get to know them. Basically, there isn't really one type of girl we look for.
And about references, I'm not sure how your school works, but we don't require them. They are good to have to get your foot in the door, but the aren't all that important at my school.
I'm not sure if this helped you much, but if you have any more specific questions, just ask and hopefully I or someone else can answer them for you!