Here speaking threats is spoken of as speaking in general. Alternate translation: "threatens you" or "speaks threats to you" (See: [[rc://en/ta/man/translate/figs-synecdoche]])
Here David speaks of a person not threatening or hurting her, by saying that the person would not touch her. It is implied that David will not allow the person threatening her to bother her again. The full meaning of this statement can be made clear. Alternate translation: "I will make sure he does not threaten you again" (See: [[rc://en/ta/man/translate/figs-metaphor]] and [[rc://en/ta/man/translate/figs-explicit]])