I wouldn't necessarily say out right separation anxiety, because there might be other factors involved. I agree, you leaving her causes her to do this, but as Crio asked, is there anything for her to do while you are gone to keep her occupied instead of pining away for you? is she destructive while you are gone? crated?
If you feel you can't handle this on your own, why not get professional help from a behaviorist to help you change her behavior to a more pleasant one while you are gone? I admit I might feel at my wit's end if I was in your situation.
Good luck with everything!
Oh! and welcome to dog forum!
~MSE