Killing Eve

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Killing Eve is a British dark comedy-drama spy thriller television series, produced in the United Kingdom by Sid Gentle Films for BBC America and BBC iPlayer. The series follows Eve Polastri (Sandra Oh), a British intelligence investigator tasked with capturing psychopathic assassin Villanelle (Jodie Comer). As the chase progresses, the two develop a mutual obsession. Based on the Villanelle novel series by Luke Jennings, each of the show's series is led by a different female head writer. The first series had Phoebe Waller-Bridge as the head writer, while Emerald Fennell took over for the second series. Subsequently, other head writers were used for the third and (announced) fourth series.
https://en.wikipedia.org/wiki/Killing_Eve

The first series premiered on BBC America on 8 April 2018, and on BBC iPlayer on 15 September 2018 through BBC Three. The show has been highly successful in both the United States and the United Kingdom, receiving critical acclaim for both the first and second series, particularly for its writing and the lead actresses' performances. The first series had unbroken weekly ratings increases, among adults especially. It has received several accolades, including a Peabody Award and the British Academy Television Award for Best Drama Series. Both Oh and Comer have won multiple Best Actress awards for their roles, with Fiona Shaw winning one for Best Supporting Actress as Carolyn Martens.

The third series premiered on 12 April 2020 for BBC America, and on 13 April 2020 for BBC iPlayer, and concluded on 31 May 2020. In January 2020, Killing Eve was renewed for a fourth series. Filming for the fourth series has been delayed until June 2021 due to the COVID-19 pandemic.

[AB]

https://www.youtube.com/watch?v=LtKkfmzYXo4

[MA]

The complete series had aired in the USA before it had started to air in the UK, its country of origin.