So it is an axial fan, and the way it is shown, totally unrestricted, it will be running at maximum current with no air restriction or back pressure.

It'll be running somewhere on its torque v efficiency curve where the torque just about overcomes the air pressure load on the fan blades at whatever speed that is. Its a good bet that's nowhere near its peak efficiency and most of the input power is just heating the rotor windings... 2A is a massive current for that style/size of motor.... Armageddon looms!

 

A PWM speed control isn't really going to help here, as the mismatch between mechanical load and the motor's achievable output is significant.

If the (average) voltage is lowered so the motor doesn't overheat, than the motor should be okay.
Whether the motor will then be turning the fan at sufficient speed to extract the fumes, is the question.

 

As you can see from the comments, there is a mismatch between the fan and motor. 2A is far too much current for a small hobby style motor like that one. It will burn up in no time. A quick solution can be achieved by reducing the load of the fan on the motor. Remove two opposite blades from the fan. The speed will go up and the current will go down. Then see what current the motor draws. If it is still too high, clip equal parts from the two remaining blades (tips of the trailing edges), keeping the blades balanced, until it runs satisfactorily.