let me take a stab at this.
Similar to linear motion of a mass m on a frictionless surface or in space, that a force $F$ no matter how small will move a mass no matter how big, albeit with smaller acceleration if the mass is bigger or F smaller.
A torque no matter how small will turn a disk or a randomly shaped piece of rock or an ice skater or even a massive cloud of plasma as those that turn around usually a black-hole center in space and later become galaxies. you toss a hammer in the air and the slightest pitch of your wrist will force it to spin around an unintuitive center of rotation.
The equivalent of mass for rotation is second area moment or moment of inertia of the object which is related to how far its mass is distibuted from its CG, and equivalent of linear acceleration is angular acceleration, and the force changes to torque.
$$\tau= I \alpha$$
For example, in order to measure G, the famous newton's gravity factor they suspended a wide, heavy dumbbell from a long string and after it was carefully set to stand still, it started to turn when they placed a massive object near one end of it and thus they measured G. And we know G is really a very small number.