Hey, tsukkomi isn't taking out your anger through violence! Although anger is a common motivator, a tsukkomi is any kind of comedic retort or riposte. (It can also refer to the person in a comedy duo that does the tsukkomi-ing.)
That lady at the baths ought to mind her own business. If she's not asking to see if she can do anything to help out, it's selfishly nosy of her to poke at Nayuki like that.