Even though the character of Deathstroke the Terminator predates James Cameron's film The Terminator by four years, the Slade Wilson character is now simply called Deathstroke, even though he was initially introduced as "Deathstroke the Terminator" in his first appearance and usually referred to only as "the Terminator ...

Why did they call Deathstroke Slade?

Nicieza called him back: "This is Deathstroke from the Teen Titans." ... He's best known outside of comics for appearing in Arrow and the Teen Titans cartoon adaptations (where he went by the name Slade, presumably because the name Deathstroke the Terminator was considered a little much by kid cartoon standards).

Is Slade supposed to be Deathstroke?

Slade's original comic name "Deathstroke" did not make it through the censors due to hesitance to use the word "death" in a children's animated series; thus, the character is referred to by his first name. ... He is actually the only villain from the original comic to not use his original supervillain name.