S.M.
I can only speak from my observations from my little corner of the world, but, grads just don't have enough time under their belt to just enter straight into surgery.
At my hospital, the teams are an anesthesiologist (MD), a scrub tech and a RN. During the day, there is help in the form of a float RN and charge nurse, etc. But at night, on call, you are on your own.
Here, at least, it seems the best course is get some experience in ICU, ED, the floors, etc, and when your experience base grows, so will your confidence and competence, making you better able to work alone, as it were. After a proper orientation to surgery, of course.
Keep at it....we can use the help!! And good luck!!