I know it is hard for people to get into accountancy roles with a degree, rather than a professional qualification, which most employers look for now.
More likely to take on an AAT qualified person, than someone with an accounts degree.
I would get going on CIMA if management accounts is the way you want to go, or ACA if you want to work in a practice.
Where does a degree leave you? What level on the professional scale? Might be worth, just taking your AAT exams just to get the recognition and your foot on the accountancy ladder.
I have worked in accounts for 15 years now, credit manager ICM, and AAT in accounts.