On a morning in early February, the actor Tobias Menzies walked the Brooklyn Heights Promenade in the relative anonymity he prefers. Menzies wasn’t hiding. He wore no sunglasses, no cap, just Blundstones, jeans, a shearling coat. He didn’t duck when people came his way. But the past few years, including multi-season stints on “The Crown” and “Outlander,” have brought him a new visibility, which still makes him uneasy.

“I’m not that confident about my life or what it is to be able to put it out in the public,” he said, shoulders hunched against the breeze. “I’m just bumbling along as best I can.”

Menzies, 49, had come to Brooklyn, to rehearse “The Hunt,” a theatrical adaptation of the Thomas Vinterberg movie that begin performances at St. Ann’s Warehouse on Friday. Back in 2019, Menzies had originated the stage role of Lucas, a preschool teacher falsely accused of exposing himself to a child, in a London production. A member of a local hunting club, Lucas now finds himself targeted by the community that once embraced him.

In the years since “The Hunt” premiered, Menzies has won an Emmy, for playing Prince Philip on the Netflix hit “The Crown,” and a fan base for his dual roles of Frank Randall and his sadistic ancestor Black Jack Randall on the Starz series “Outlander.” He also played somewhat against type as an anxious therapist in Nicole Holofcener’s acerbic comedy “You Hurt My Feelings.”

Five years ago, the role made perfect sense for Menzies, who specializes in wounded masculinity. The play, adapted by David Farr, is caustic and cerebral, and it reunited him with a frequent collaborator, the director Rupert Goold. And Lucas is a type that Menzies has often gravitated toward, a man unable, whether by upbringing, temperament or circumstance, to show his feelings. Lucas benefits from both Menzies’ natural reserve and his ability to show what roils beneath that stoicism, a game of emotive hide-and-seek.