Ms. Stevenson played Gertrude in Mr. Icke’s “Hamlet” and went on to alternate, with Lia Williams, the starring roles of Elizabeth I and Mary, Queen of Scots, in Schiller’s “Mary Stuart,” another reimagining by Mr. Icke. (In that production, the casting was decided at almost every performance by the toss of a coin.) But neither of those shows made quite the demands that “The Doctor” does on this actress, who at one point sprints around the stage with breathless abandon as the verities in her life fall away.

Taking on a role originally written for a man, Ms. Stevenson plays a grammatically exacting Jewish medic who holds a senior post in a private clinic in a dementia hospital. (That particular ailment will acquire its own narrative resonance.) The sort of person who talks at her colleagues and not to them, Ms. Stevenson’s beady-eyed Wolff finds her confidence falter once she is accused of striking a Catholic priest who has come to administer the last rites to a 14-year-old girl dying from an abortion gone wrong.

So far, so straightforward. Or so you might think, except that Wolff’s action leads quickly to a trial by social media and a tribunal in the second act in which a woke interlocutor delves into the doctor’s misuse (or not) of the word “uppity” in an attempt to topple Wolff from her perch. There are nods to “The Crucible,” which Mr. Icke directed earlier this year in Basel, Switzerland. Occasional references to Wolff as a “witch” tally with the witch hunt at the fearsome core of Arthur Miller’s play.

The narrative keeps pulling the rug out from under the characters, and Mr. Icke’s casting does the same. A racially diverse group of players includes white actors playing black characters — the excellent Paul Higgins as the aggrieved priest among them — as well as the reverse, along with men playing women and vice versa.

You might argue that Mr. Icke takes on more themes than he can handle, as liberal and religious pieties are folded into a thickening stew of anti-Semitism that features Naomi Wirthner as Wolff’s abiding nemesis and a mannered Ria Zmitrowicz as an adolescent whom Wolff takes under her increasingly anxious wing.