Just because you have a degree it doesn't mean in any way you are more likely to get a sponsorship with an airline, or that you are a better communicator or team worker.
Chances are, IMHO, that the airlines are looking for someone a little more "rounded" and "broadened" rather then someone who has just done school-college-university, which is a very sheltered life.
Its a tough world out there and education, no matter to what standard, cannot prepare you for what it is like out there in the real world. The market place for wannabee pilots is non-existent at the moment, and will remain so for a long while yet. Still plenty of type rated people out there without a job. My advice would be get a job, pay off your uni debts, do your PPL and then wait and see what happens in the industry.