UT (Texas) minority in "white" sorority

Coming from a predominantly white high school, I have always been a minority (Indian- from India) among my friends.

I am considering rushing this upcoming fall at UT & I wanted to know if I have a realistic chance for a bid at what are considered "white" sororities? This has really nothing to do with racism; I just would like a realistic opinion.

I know that there are culturally oriented sororities at UT as well, however, I am not sure if that is something I am interested in.