Annie Clark, the songwriter and multi-instrumentalist known as St. Vincent, has an apartment in the East Village. She’s rented it since 2009. But last winter and spring, while she was in town recording a new album, she didn’t stay there. If she wanted something, she sent someone to get it. “I need to not have to worry about the plumbing and the vermin,” she said. “Also, the trinkets and indicators of my actual life.” She was immersed instead in the filtration of that actual life into song. She was in a hermetic phase: celibate, solitary, sober. “My monastic fantastic,” she called it. A stomach bug in March left her unable to stand even the smell of alcohol, and, anyway, there were so many things she wanted to get done that she didn’t have the time to be hungover. She abstained from listening to music, except her own, in order to keep her ears clear.

She was staying at the Marlton Hotel, in Greenwich Village, a block away from Electric Lady Studios, one of the places where she was making the record. Most days, she got up at sunrise, took a Pilates class, and then headed to Electric Lady, to work past sundown. She had dinner in the studio, or else alone at a nearby restaurant, or in her room. A book or an episode of “The Handmaid’s Tale,” and then early to bed. Not exactly “Hammer of the Gods.”

It had been more than three years since the release of her last album, which she’d named “St. Vincent,” as though it were her first under that name, rather than her fourth—or fifth, if you include one she made with David Byrne, in 2012. All these were well regarded, and with each her reputation and following grew. The music was singular, dense, modern, yet catchy and at times soulful, in an odd kind of way.

Still, the self-titled album was widely considered to be a breakthrough, a consummation of sensibility and talent, a fulfillment of the St. Vincent conceit—this somewhat severe performer who was both her and not her. The act was a blend of rock-goddess bloodletting and arch performance art, self-expression and concealment. (She says that she got the name from a reference, in a Nick Cave song, to the Greenwich Village hospital where Dylan Thomas died.) The ensuing tour was called “Digital Witness,” named for a creepy/peppy song on the album about our culture of surveillance and oversharing. Her life was a whirlwind. There was a Grammy, some best-album acclaim and time on the charts, and a binge of attention from the music and fashion press, and, eventually, from the gossip industrial complex, too, when she began a relationship with the British actress and supermodel Cara Delevingne. The Daily Mail, struggling to take the measure of this American shape-shifting indie rocker, called Clark “the female Bowie.” (The paper’s stringers doorstepped Clark’s family.) When that romance came to an end, after more than a year, she began to be photographed with Kristen Stewart, another object of fan and media obsession, and so the St. Vincent project took on a new dimension: clickbait, gossip fodder. This bifurcation, as Clark called the split between her public life as an artist and the new one as a tabloid cartoon, was disorienting to her, and even sad. But there was a way to put it all to work: write more songs. Clark, quoting her friend and collaborator Annie-B Parson, the choreographer, told me one day, “The best performers are those who have a secret.”

For the new album—it comes out this fall, although Clark has not yet publicly revealed its name—she hooked up with the producer Jack Antonoff, who, in addition to performing his own music, under the name Bleachers, has co-written and produced records for Taylor Swift and Lorde. This has led people to suppose that Clark is plotting a grab for pop success. In June, she released a single called “New York,” and on the evidence the supposition seems fair. It is—by her standards, anyway—a fairly straight-ahead piano ballad, lamenting lost love, or absence of a kind. “You’re the only motherfucker in the city who can handle me,” she sings. Fans immediately began speculating that it was about Delevingne, or, if you thought about it differently, David Bowie, who died last year. “It’s a composite,” Clark told me, though of whom she wouldn’t say. She objects to the idea that songs should automatically be interpreted as diaristic, especially when the songwriter is a woman. “That’s just a sexist thing,” she said. “ ‘Women do emotions but are incapable of rational thought.’ ”

A few weeks before the release she told me, “It’s rare that you get to say ‘This song could be someone’s favorite.’ But this might be the one. Twenty years of writing songs, and I’ve never had that feeling.” It was May, at Electric Lady. She was in the studio with Antonoff. “We’re doing the flavor-crystally bits,” Clark said. This essentially meant adding or removing pieces of sound to or from the sonic stew they’d spent months concocting. “There’s a lot of information on this album,” she said.

Clark, who is thirty-four, was sitting cross-legged on a couch. She had on studded leather loafers, a suit jacket, and black leggings with bones printed on them, in the manner of a Halloween skeleton costume. Her hair was black and cut in a bob. (In the past, she has dyed it blond, lavender, or gray, and has been in and out of curls, its natural state.) She wasn’t wearing much makeup. When she performs, she puts on the war paint, and usually goes in for fanciful costumes and serious heels. For the “Digital Witness” tour, she wore a tight, perforated fake-leather jumpsuit with a plunging neckline, and smeared lipstick. Last year, she did a show while attired in a purple foam toilet. Parson, who is responsible for the rigid postmodern dance moves that Clark has embraced in recent years, referred to her aspect as “wintry,” which doesn’t quite encompass her tendency to throw herself around the stage or dive off it to surf the crowd.

Now she seemed slight, fine-boned, almost translucent—it was hard to imagine her surviving a sea of forearms, iPhones, and gropey hands. She has a sharp jawline, a few freckles, and great big green eyes, which can project a range of seasons. She thinks before she speaks, asks a lot of questions, and has a burly laugh.

“She stood me up. I hosed off my Crocs for nothing.” Facebook

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On a coffee table in front of her were a Chanel purse and containers of goji berries, trail mix, and raw-almond macaroons. She stood occasionally, to play slashing, tinny lines on an unamplified electric guitar of her own design—a red Ernie Ball Music Man, from her signature line, that retails for upward of fifteen hundred dollars—which, on playback, sounded thick and throbby.

She shreds on electric guitar, but not in a wanky way. It often doesn’t sound like a guitar at all. Her widely cited forebears are Robert Fripp and Adrian Belew, of King Crimson. “I don’t love it when the guitar sounds like a guitar,” she said. “The problem is, people want to recognize that it’s a guitar. I have facility, and so I feel like I should use it more. I don’t have any other ‘should’ in my music.” (It can be funny, if dispiriting, to read, in the comments sections of her performances on YouTube, the arguments that guitar nerds get into about her chops.)