Star Trek: Everything We NOW Know About The Q Continuum

The sixth season episode of The Next Generation, eventually titled True Q long after production had commenced, was pitched by a young writer named Matthew Corey, and originally titled Q, Me? This was the first of two Q-related episodes in the show's sixth season and the last time (in The Next Generation) that anyone from the main cast, other than Picard, encountered de Lancie's Q.

Amanda Rogers was originally written as a male character, one whom Jeri Taylor believed Corey intended to play himself, according to the Star Trek: The Next Generation Companion. This episode is the first chronological mention of a Q offspring, though one that doesn't break canon with later outings.

While Q junior, introduced in The Q And The Grey, would be the first true child of two Q, Rogers was a child of two human Q, making her an unexpected anomaly. That she inherited powers was a mistake, thus resulting in Q's inspection, as well as the very real chance of her execution. 

De Lancie was delighted to return to a "mad, bad, and dangerous to know" character (Star Trek: The Next Generation Companion), but felt that the episode fell short. He agreed with Michael Piller that Q had been softened somewhat in his frequent outings and tried to imbue this performance with something a little edgier. The inclusion of Q's shadowy contact, another member of the Continuum, was added to Corey's story to add some tension. 

However, per de Lancie:

I tried to put malevolence in places there, but that didn't really lend itself again […] I can't do it within the context of birthday parties and babysitting and stuff like that. It's something you need to have the set-up for. I would have liked to have taken it one step further where [Amanda] was killed.

As presented, the Continuum may have been fully capable of dropping a tornado on some errant members but would stop short of killing a young woman.