There are a number of considerations here. The first and easiest is to look at the calibration certificate of the torque standard you are using. If from an accredited provider, you have uncertainties. That is a plug-and-play Type B. Then consider environmental factors, such as temp/RH, vibration, dust, etc. You may have some hyteresis type effects from the attachment fixtures. You may have parallax depending on the readout, and will certainly have resolution error.
Some of these influences can be pretty easily quantified, such as the resolution error, but some may be much trickier, such as vibration or dust.
Others will certainly contribute but this should just get you thinking along the path of identification of the ucertainty contributors.
Hershal