[1] His television roles include Beverley Leslie on Will & Grace (2001–2006 and 2017–2020), several characters in the American Horror Story franchise (2013–2019), Sid on The Cool Kids (2018–2019), Phil on Call Me Kat (2021–2022), and Lonnie Garr on Hearts Afire (1993–1995).

Leslie's father, Allen Bernard Jordan, was a major in the United States Army Reserve and died along with two others, in the crash of a civilian Beechcraft Debonair airplane at Camp Shelby, on March 31, 1967.

[15] His television career includes guest appearances on Murphy Brown, Designing Women, Will & Grace, Lois & Clark: The New Adventures of Superman, Star Trek: Voyager, Caroline in the City, Pee-Wee's Playhouse, Reba, Boston Public, Boston Legal, Nash Bridges, American Horror Story, Perfect Strangers, and Hearts Afire.

[17] In 2007, he guest-starred on the comedy drama Ugly Betty as celebrity-trasher Quincy Combs, and starred as Jesse Joe in the short-lived CW television program Hidden Palms.

[24] On April 2, 2020, it was announced Jordan would play the series regular role of Phil in the Fox sitcom Call Me Kat, along with Mayim Bialik, Swoosie Kurtz, Kyla Pratt, and Cheyenne Jackson.

In the same year, Jordan was a guest panelist on season six of The Masked Singer during Week 5 where he also did a performance of "This Little Light of Mine" as "Soft Serve".

[27] Jordan played Earl "Brother Boy" Ingram in Sordid Lives, and also portrayed this character in the popular cult film of the same name.

He reprised the role in a televised spin-off of the movie, which aired on Logo, where he played a character who is institutionalized in a mental hospital.

[29][30] Jordan's first autobiographical stage show was called Hysterical Blindness and Other Southern Tragedies That Have Plagued My Life Thus Far,[13] with music and lyrics by Joe Patrick Ward.

[31][32] The production, in which Jordan was backed by a gospel choir singing satirical songs about racism and homophobia, was produced off-Broadway at the SoHo Playhouse and ran for seven months.

[34] On October 24, 2022, at approximately 9:30 am PDT, while driving to film scenes at the Call Me Kat set,[35] Jordan's car hit the side of a building at Cahuenga Boulevard and Romaine Street in Hollywood.

[38] According to the Los Angeles County Coroner's Office, he died from sudden cardiac dysfunction due to arteriosclerotic cardiovascular disease.

[41] Jordan also won an Outstanding Guest Actor in a Comedy Series Emmy Award in 2006 for his part as Beverley Leslie in Will & Grace.