"The Diplomat" on Netflix
appears to be a limited series, starring Keri Russell and Rufus Sewell. It was created by Debora Cahn, and covers a crisis appointment of a US ambassador to Great Britain after a British Navy vessel was torpedoed by unknown terrorists in the Persian Gulf. The appointment was not a political gift to a wealthy donor.
The ambassador's husband was an ambassador himself until he was fired. He is supposed to be helping his wife meet the right people, but he keeps acting on his own and creating chaos as MI5 and the CIA try to figure out if the attack was ordered by Iran. Furthermore, the US President is elderly, and the VP is about to be removed from office. POTUS' Chief of Staff is evaluating the new ambassador to be the next VP.
Feels like The West Wing, sort of.
I'm pretty sure it will have multiple seasons.
There were a number of allusions to TWW series in The Diplomat's first season. I can't remember the specifics, but there was definitely a sly wink in the direction of West Wing fans.