The term hesitate in speech refers to the act of pausing or faltering while speaking. There are several synonyms for this term that can be used to convey the same meaning. One such synonym is stutter, which is used to describe a speech impediment resulting in involuntary pauses or repetitions while speaking. Another synonym is stumble, which refers to a slip-up or momentary loss of words during speaking. Additionally, falter, waver, and hesitate itself can also be used interchangeably to describe this phenomenon. In summary, there are several words that can be used as an alternative to hesitate in speech depending on the context in which they are used.