At page 4 we see that the HD6450 reachs 38fps at minimum details at 1280x1024.
Saying that I shall say that 610m graphics card isn't suitable for playing Diablo 3 using any quality settings. But if you don't mind about the graphics quality, using the lowest settings would make playing it feasible.
There's a thread on the Diablo 3 technical support forums, which I believe is here us.battle.net/d3/en/forum/5386227/ . One of the stickies shows unsupported graphic chips. I would look for you, but I'm at work.