The egress path of that heat will tend to be dissipation throughout the habitable area, modulo circulation. One factor I've noted in room heating is how much heat tends to rise toward the ceiling. A vertically-oriented fan (need not be a ceiling fan) will help achieve a good blend of temperature floor-to-ceiling.
Air flows between rooms / through doorways can also be surprisingly stubborn, but it does happen.
The specifics will depend on the size of the interior space, position of the kitchen, access to exterior walls, etc.
