It's definitely DD/DPS.

Incidentally, a handy hint to remember if you're having trouble understanding what role a certain class or Job is, is to set the GUI to show the party list even when solo - this will show your character's name plus their current class's logo beside it in the top left corner of the screen (by default). In this list the colour of the class/Job icon shows what role that class or Job is - red is DD/DPS, green is healer and blue is tank.