I finished my accounting degree at 33. After my Sophmore year, I took one year off to take a low paying A/R clerk position(however, my responsiblities grew quickly). After graduation, I was able to find work pretty quickly in Atlanta doing payroll / billing for a mid-sized company with my minimal accounting experience and resaurant experience. Although the job market is tough, I think without experience, accounting is much easier than psychology to find a job in.
Do you have any work experience? If so, which degree does it most closely match. Consider that you may be able to use it on your entry level resume.
There is nothing to preclude you from working on your accounting degree while applying to psychology jobs. If you can't find a job in psych then you'll still be on your way with accounting.
Also, I found it very easy to use my last two years of college to demonstrate some limited leadership skills. At the college you pretty much just had to volunteer to do it to become president of the Accounting Association. You can also gain experience by working with volunteer tax assistance programs.
Best of luck. All jobs are hard to come by but an accounting degree is well respected. You might also consider getting a masters. Just seek out any internship oportunities - in particularly the new internship program for recent college grads with the Federal government. I think it will be called pathways or somthing similar.
I have seen an increase in private sector job postings. However, this is coming up on tax season.