Reverse thrust doesn't come directly out the front of the engine - it's vented out the side (or, in very old engines, redirected from the back exhaust):
that is a misleading way to put it - the reverse-thrust air does indeed move toward the front of the plane. it also moves outward, and is often taken from the sides of the engine, but a component of the (reversed) thrust is definitely going opposite the usual direction.
https://upload.wikimedia.org/wikipedia/commons/d/df/F-GTAR_A...