Im trying to move my model along the red and green axes but when I try its only allowing me to move along blue axes. Im not hold shift and I'm not in a special camera mode.
It may be the angle your viewing the model, try orbiting camera or pressing the cursor keys to lock to another axis
Or it's a dynamic component with moving constraints?
Its maybe a dynamic component, I erased some objects and was able to move the model.
The component was probably glued to a surface. Right-click on the component, and select "Unglue"