I'm going to have to agree somewhat with the previous poster in that I think something has gone wrong if you don't think you can hack it in the "real world." Among my classmates, we were all chafing at the bit by about halfway through our 3rd year, and some of us sooner. We all did at least some moonlighting.
Something about the situation isn't well. Several possibilities exist. Either your program hasn't prepared you adequately, you are a slow learner, or you have adequate training and skills but lack confidence. Most likely is the third option. So what to do from here?
Given your situation, you have few options. Fellowship would have been good, but as you said, it's too late to apply. You need to find a job soon. Unless you're independently wealthy with no student loan debt, you need to work when your loans enter repayment.
I'm going to suggest the same as I do to all new grads, and that is to find a fairly busy ER where you can get a lot of exposure. I think finding a place where you'll be double or triple covered at least most of the time is valuable. My first job out, we had a trauma surgeon in-house all day and most nights, which turned out to be invaluable at times when I just needed a "old hand" to run a case by. Judgment is something that comes with time and experience, and older docs have lots of both.
I think a single coverage situation is a bad idea for new grads. I think it's not that great for anybody really, because you have nobody to pick up the excess when things get busy. In that case, everybody suffers. The patients get worse care and wait longer, you get burned out and tired (and maybe sued), and the nurses have to deal with all that and get cranky as a result. Single coverage is a necessary evil in lots of places that don't have the volume to support a higher level of staffing, but I think it's best for docs that have been out a least a couple years. I was still doing a lot of learning on the job during my first 1-2 years out.