look at slow motion of federer, gasquet and almagro (probably closer to your grip). you do hit in front and have torso/shoulder rotation, but you are more sideways during contactthan with the forehand, even though you do finish with your arm high on the other side, just not with the racquet pointing at the back fence like in the forehand.
just look at the slow-mo and then practice/experiment.
Disclaimer: I'm NOT a coach...
Real tennis: https://www.youtube.com/watch?v=yDqnkLJ9BtM