Frame challenge: instead of reflecting the beam back to the hilt with a technologically complex drone, just use an opaque beam absorber that's affixed to the hilt.
As other answers have pointed out, reflecting the beam back toward the user adds unneeded risk - if the reflector gets misaligned even a little, the user could accidentally chop their own hand off. Additionally, the beam emitter now has to perform double duty as a beam absorber, adding complexity to the apparatus. If all you need to do is halt the beam, you just need an beam absorber instead of a beam reflector.
A drone is also a rather complex and fragile way to keep the reflector/absorber in the correct position. It would be far simpler and more reliable to just attach the reflector/absorber at the end of a blade-length arm which is affixed to the hilt (sort of like a selfie stick). This would mean the sabre is no longer omni-directrional, as you must swing the blade with the arm in the back. This shouldn't be a huge issue, though, since I can't think of any regular sword that allows you to cut in any direction. If you really need to swing the sword in any possible direction, some control electronics could be implemented to rotate the arm away from the direction the sword is swung, ensuring that the blade rather than the arm hits the target first. This rotation mechanism will be far simpler than the control electronics needed to keep a drone hovering at a precise spot in 3D space.