What are my chances of getting into Georgetown with a GED?

I looked it up on CollegeData and saw that Georgetown is one of the universities that accept GED’s as the equivalent of a regular high school diploma, and allow you to apply if that is what you have in place of a traditional four years. I know that they saw they accept it, but even if they let you apply, are my chances of getting accepted really the same? That is the only equivalence I’m worried about. Everything in high school happens fairly quickly and its hard to know the best route or even the “okay” route. Freshman year I took all honors, except for one class (French), and one AP. My GPA weighted was a 4.4. Sophmore year I took all honors and around 3 AP, including one college prep course. My GPA remained around the same. I have not yet taken the SAT’s but all my thoughts are with striving to make them as best as i can. I plan not to go through Junior year, and to get my diploma early instead so I can take some college courses online to continue education, but also mainly to get into the real world. I don’t feel high school is helping me if i can already obtain the information i need from it. I plan to travel, and have a novel that I’ve written close to publishing in the two years before I apply to georgetown but I’m concerned about my chances with all these factors taken into account and still looking at a GED instead of regular diploma. HELP.