A woman in command on the Enterprise, I think half the fandom just had an aneurism.
How do you figure? You really think half of Trek fandom is sexist?
No Star Trek adventure has ever involved anybody specifying how many dozens of commanding officers the Enterprise has had. There is no known limitation, and e.g. no particular reason to think five skippers would not have held the command position between April and Pike, or between Kirk and Spock, or between Spock and Kirk.
Here's what we
know: April was the first captain of the Enterprise. April became an ambassador 20 years before "Counter-Clock Incident" (c. 2250). Pike was captain by the time of "The Cage" (c. 2253, 13 years before "The Menagerie"), with Spock in his crew. Spock served under Pike for 11 years, 4 months; Pike was promoted to Fleet Captain and Kirk took command ("The Menagerie"). Kirk was in command by the time of "Where No Man" (c. 2265).
There is, in other words, a brief period (not more than three years) during which someone else could have captained the ship between April and Pike, although no such person has ever been mentioned. There's a comparable amount of time during which Pike could've been in command but
not had Spock serving under him, although it's generally assumed that once Spock was on the
Enterprise he stayed their, through its change of captains.
In order to avoid an unseemly multiplication of previously unmentioned captains who aren't actually relevant to the story about to be told in DSC S2, it seems most reasonable to stick to the familiar April-Pike-Kirk sequence. Of course, as others have noted, it's not uncommon in Trek for a first officer to take command of ship for the space of an emergency, a mission, or even as much as a few weeks, without formally replacing the captain of record... so it's probably safest to assume that's how DSC will handle Number One and the
Enterprise whilst Pike is on "detached duty" or what-have-you aboard
Discovery, for the length of however much story time S2 takes.
We will, of course, see for sure in a few months. But for now, that's how I'd bet.
Or when Jellico replaced Picard (ceremony and all) only for Picard to come back. Number One being the official captain of the Enterprise doesn't contradict anything, she could have her own five year mission with Pike coming back in 2262 and commanding it again before Kirk takes over.
Theoretically. But the reasoning above is why I think we
won't actually see Pike as an ongoing regular on DSC... at least not unless we get Spock along with him (thus preserving the "served under" remark), but that would make DSC a
very different type of show, so I also don't expect that.