Given that information, I have a suggestion. It is critical that you get mom completely on board so that there is a unified front to deal with 'sis. Perhaps this will work.
First, if appropriate, confess to mom that you were short-tempered with your sister when she was talking to you during the cut. Admit (if appropriate) that you should have asked her kindly (as kind as a yell over the sound of a table can be) to hang on until you finished the cut.
Next, set up a cut on the table saw that you can get mom to do (with your guidance). Ask her to perform a cut so that she can see why you are concerned about getting startled or distracted.
Give her a safety chat before the cut. Have her perform the cut, then unplug the saw (demonstrating your excellent safety skills - mention why you are doing that). Then slide that work back into mid-cut position. Put your mom's hands back in place like they were while she was cutting. Then ask her, now that it is quiet: "Given that there is a spinning blade inches away from your hand that is capable of cutting through flesh and bone in an instant, would you want your %%%%% (substitute a relative of hers who can be irritating to her) to walk into the room, startle you or distract you by demanding that you respond immediately?
Just a thought.
First, if appropriate, confess to mom that you were short-tempered with your sister when she was talking to you during the cut. Admit (if appropriate) that you should have asked her kindly (as kind as a yell over the sound of a table can be) to hang on until you finished the cut.
Next, set up a cut on the table saw that you can get mom to do (with your guidance). Ask her to perform a cut so that she can see why you are concerned about getting startled or distracted.
Give her a safety chat before the cut. Have her perform the cut, then unplug the saw (demonstrating your excellent safety skills - mention why you are doing that). Then slide that work back into mid-cut position. Put your mom's hands back in place like they were while she was cutting. Then ask her, now that it is quiet: "Given that there is a spinning blade inches away from your hand that is capable of cutting through flesh and bone in an instant, would you want your %%%%% (substitute a relative of hers who can be irritating to her) to walk into the room, startle you or distract you by demanding that you respond immediately?
Just a thought.

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