Is this something you are trying to design for school or just something you want to get to work?
If it is the latter, then consider that the stirrer motor needs to overcome its own turning friction or it wouldn't turn. I assumed that was a given. It is then coupled to the bar in the vessel ("stirred bar") by magnetic force. Forces acting on the stirred bar will impede its spinning and require power from the stirrer. At some point, the forces on the stirred bar may exceed the strength of the magnetic couple and the stirrer will continue to turn, but the stirred bar will not.
So, as a rough estimate, you might say the motor needs to be at least as powerful as the magnetic couple. Take the two magnets you intend on using, separate them by an appropriate distance to represent what you will be doing, and see how much torque it takes to turn one while the other is stationary. So basically (first approximation), it is how much force does it take to separate two magnets of given strengths that are a fixed distance apart.
As a simple experiment, you could put a magnet on your PC fan and then take another magnet and see how close you can get without stopping the fan, or more appropriately, prevent the PC fan from starting. Obviously, there are other factors, such as the effect of what else is between the stirrer and the stirred magnets.
A practical design will also have to consider other factors besides motor power. For example egg-shaped magnets behave differently than rectangular magnets in the stirred vessel. Round-bottom vessels stir differently than flat-bottom vessels. Erlenmeyer flasks stir differently than beakers. Magnet size compared to the size of the vessel is yet another factor. Some configurations produce a more stable vortex than others. Variable speed control is essential.
John