Here’s a tip for fans of the western-flavored drama “Yellowstone”: If you spot Kelly Reilly at the airport or in a coffee shop, you don’t have to worry that she will confront you. She has no desire to ruin your day.

Nor do you have to congratulate her on her vicious verbal takedowns of business interests, ambitious developers and others vying for her father’s massive Montana ranch so they can transform the picturesque landscape into a concrete-covered playground of vacation homes and resort attractions.

Because now that the Paramount Network series, a bona fide blockbuster that has become arguably the most popular series on television, has launched its highly anticipated fifth season, Reilly is finding out that her performance in “Yellowstone” is so convincing that many fans believe she is Beth Dutton, the ruthless daughter of Kevin Costner’s John.

Armed with a volcanic personality and acid-tipped diatribes for anyone who oppose her and her father, Beth has high-stepped past the series’ other colorful characters to become a singular force of nature: “You are the trailer park, and I am the tornado” is just one of the trademark lines that has appeared on T-shirts celebrating Beth. But Reilly is very much not a Beth type.

“My life could not be more removed from the world of Beth, but people really do think I’m her,” Reilly said during a Zoom interview from her home in London. “In a coffee shop, they’ll say, ‘Hi, Beth.’ I’ve been acting since I was 17 years old, and I’ve never had a character that has been this strong in flavor and gotten such a passionate response. It’s horrifying and exciting, depending on the day.”

The British actor, whose previous projects have included the films “Flight” and “Sherlock Holmes” with Robert Downey Jr. credits the response to Beth to executive producer Taylor Sheridan, who co-created “Yellowstone” and is its principal writer.

“Taylor writes women with great love, but with great complexity,” Reilly said. “They are unapologetic. Men are never written as strong male characters. They’re just themselves. It was that attitude and energy that Taylor wrote in Beth and all of her toxic fabulousness. As an actor, it got my blood up. As a woman, it got me intrigued. There’s a recklessness in her that I find exciting.”

She added: “It was a quality that did not come easy for me. How do you play a woman like that and also get people on her side? If you just hate or disregard her, I have not done my job properly.”

The two main men in Beth’s life beside her father are her husband, Rip Wheeler (Cole Hauser) — Dutton’s main ranch hand, who she fiercely loves — and her brother Jamie (Wes Bentley), who she openly despises. Beth has never forgiven Jamie for an incident when they were teens when he took her to get an abortion and, unbeknownst to her, arranged for her to be sterilized.

Beth continually reminds Jamie of her life’s mission to punish and destroy him. Their toxic relationship was exposed in the first season when they violently brawled inside a barn.

Said Bentley: “Beth is extreme, and for Kelly it was quite a long distance to go because she’s the opposite — sweet. She’s gone further in this role than I think even she felt was possible. That fight scene was the moment where I saw that click, fully formed. It’s one of the most fascinating things I’ve seen as an actor.”

Both performers feel that a twisted kind of love is at the core of the dynamic between Beth and Jamie.

During the interview, Reilly discussed different aspects of “Yellowstone.”

When did you realize Beth had become such a breakout character?

Halfway into the second season, I started to feel there was more conversation about her. People dressed up as her on Halloween. That’s when I started to realize that she had entered the zeitgeist. It’s been fascinating to watch and — I’ll be honest, as an actor — slightly intimidating and a little bit scary. I do try to keep it at arm’s length, what people have to say about her. To some women, she’s a hero. Others find her despicable. Neither side is right or wrong, and that’s the sort of the joy of her.

I heard that when people recognize you, they want to high-five you or fight you.

They’re more disappointed when they meet me. They expect me to have Taylor Sheridan verbiage and Beth’s attitude. As soon as I stop playing her, I drop that attitude quite quick. Also, I’m British, so that’s always a revelation to people. I actually think it’s better if they don’t know anything about me so I can fully inhabit and disappear and people can think she’s real. In a weird way, I like that.

The chemistry of this cast is so front and center. Kevin really seems like your father, and Beth adores him so much.

When I first read the script, the strongest thing that stood out was her devotion to her father. She’s a warrior for him, and there’s a righteousness to that. I find that really beautiful and tragic. It’s not difficult with Kevin — he really is that patriarchal all-American. He is iconic in playing that figure. I adore my scenes with him.

There is this glowing romance between Beth and Rip. There is such electricity between you and Cole Hauser, who plays him.

I had just turned 40 when I got the role of Beth. I think Cole is three or four years older than me. We have both been working for many, many years, and we were both aware of how fortunate we were and how rich the material was. Neither of us phone it in. We work really hard, and we both have a lot of fondness for each other as people. We’re both happily married people and we’re in a playing field of complete safety and respect. The writing of these two characters together is beautiful, and we’re not going to mess that up.

You grew up in another country. How familiar were you with the genre of the western before you joined “Yellowstone?

It’s certainly not in my DNA. I didn’t think of it as entering into a genre. I just thought of it as entering into another character. Beth became my dominant responsibility and obsession. Now I live in Montana five months of the year. We film on an actual ranch. I ride horses every day. I’m friends with cowboys and cowgirls and ranchers. I have gone on a journey of understanding a culture and a way of life that I didn’t before. That’s been a real gift to me. It’s really humbling and complex.