Terrence is a slur used to describe Blacks in a derogatory way. Likely comes from the black singer Terence Trent D'Arby, who claimed that his debut album was the most important album since "Sgt. Pepper" and then bored his audience with self-important lyrics, losing major credibility in the process.
The word Terrence is a racial slur that has been used historically to degrade and dehumanize blacks. The word is still used by some people for this purpose, and it is seen as offensive and hurtful to blacks. If you are unsure about whether or not it is appropriate to use the word Terrence, it is best to err on the side of caution and avoid using it in any situation.