I have this dilemma: Suppose you have a space ship somewhere in deep space, where there is no drag force or substantial gravity. If the ship has a single engine situated in such a way that the center of thrust is off-axis with respect to the center of mass, will the ship fly straight when the engine is turned on or will it begin to rotate?

I firstly thought that it would fly straight, since there is no drag or weight to pull the ship on other axis, but I found this question Force applied off center on an object which suggest that I'm wrong, although I don't fully understand the answers there.

Can anyone explain or provide links to material that could shed some light for me in the physics behind this?

I have this dilemma: Suppose you have a space ship somewhere in deep space, where there is no drag force or substantial gravity. If the ship has a single engine situated in such a way that the center of thrust is off-axis with respect to the center of mass, will the ship fly straight when the engine is turned on or will it begin to rotate?

I firstly thought that it would fly straight, since there is no drag or weight to pull the ship on other axis, but I found this question Force applied off center on an object which suggest that I'm wrong, although I don't fully understand the answers there.

Can anyone explain or provide links to material that could shed some light for me in the physics behind this?