I don't really think it matters....
For clarification, at least in America, colleges are usually stand alone schools (usually no grad programs are directly associated with them), while universities can be a family of colleges, usually with a bunch of different graduate programs.
Ex. Cornell College vs Cornell University. The former is a college, with no affiliation with the ivy league, located in Kentucky (or maybe Kansas - can't recall), while the latter is made of a college of science, college of hospitality, college of agricultural sciences (It's actually made of 7 different colleges, where 3 are private and 4 are public NYS colleges) and so on to form Cornell University, which also has it's own graduate schools. <--feel free to correct me on this, but I remember my HS guidance counselor telling me this.
As long as you hold a BS/BA or anything higher, you should be fine. I'm wondering if your BAA is just a BA? Because I'm only familiar with Associate and Bachelors.
Shortlisted 2011 - Interviewed in NYC