This is the last episode of Floriana Lima as a series regular as she is later downgraded to recurring for Series 3.
This is the last episode of Katie McGrath as a guest star prior to becoming a series regular with Season 3.
The title of the episode is a reference to a phrase used by U.S. Senate Majority Leader Mitch McConnell after silencing objecting Senator Elizabeth Warren during a nomination hearing on February 7, 2017. Sen. McConnell later gave an explanation: "She was warned. She was given an explanation. Nevertheless, she persisted". The phrase "nevertheless, she persisted" went viral, quickly becoming a trending hashtag and feminist rallying cry.
Cat makes another topical reference by uttering the term "fake news".
Cat Grant likens James Olsen to Darth Vader, beating up villains. Kara and Clark correct her mistake, telling her that he beat up the good guys. This is a reference to Guardian's voice-changing technology that makes his voice noticeably deeper, albeit warped. She also makes mention of villains slaying him with their "lifesaver", soon to be corrected for her mistake.
Cat also claims to have never even seen Star Wars, a tongue-in-cheek reference to the fact that her husband, Harrison Ford, portrayed a central character in the original trilogy.
Superman makes mention of Warworld, which in the DC comics was an artificial planet on which he was forced to fight in gladiatorial games.
Cat mentions having turned down two marriage proposals from Rob Lowe. This may be a reference to Calista Flockhart's time on the television show, "Brothers and Sisters", where she and Lowe played a married couple.
Cat tells Kara that she is on "a hero's journey", noting its use by mythologist and writer Joseph Campbell.
It is confirmed that Cat is aware that Kara is Supergirl. It is also strongly implied that she knows Clark Kent is Superman.
The destruction of Krypton was mistakenly said to be 35 years prior to this episode. In reality, it would have to be at least 38 years prior since Kara slept in the Phantom Zone for 24 years, hid her powers for 12, and has been out as Supergirl for at least 2 years going on 3.
The episode, like other episodes of the Daxamite story ark, again seems to allude to the transition ark between seasons three and four of Lois and Clark, where Superman invokes an ancient trial by combat law as a last resort to deal with Nor.