Georgetown does not interview it's own students, so count them out. There are 26 people applying for Ortho this year (I am one of them) and the reason is mainly the involvement of the Ortho dept in medical education. They make it a great rotation for students. There is no scut, but still responsibility, you get to operate and get your hands dirty and they pimp constantly which makes you feel good when you bust your a$$ and answer their questions correctly. Georgetown seems to like rotators, but this past year the 3 residents were a non-rotator, a rotator, and a former G-town student. Obviously it's better if you rotated and made a good impression but that is true anywhere. It is just magnified when there are so few residency positions.
I think anywhere you get an interview you will be strongly considered if you make a good impression.