If you set your translate handle to local, the blue arrow should point in the direction that should logically be ‘forward’. Ergo, point towards where the turret should be aiming.
As a bit of modelling advice on the side too, in this instance, your origin point should be at the base of your arm. Ergo, the point where you logically want the model to rotate around, and be positioned against something else.
Both of these are done in your modelling program, dependant on being exported correctly too.