1. A speech recognition terminal device capable of communicating with a speech recognition server that carries out speech recognition, the speech recognition terminal device comprising: a speech acquisition device that acquires a speech command spoken by a user; a request device that requests the speech recognition server to carry out the speech recognition of the speech command acquired by the speech acquisition device; a prediction device that predicts a present delay time until a result of the speech recognition of the speech command requested from the request device is obtained from the speech recognition server; a determination device that determines a filler word with a time length in accordance with the present delay time predicted by the prediction device; a filler speaking device that outputs the filler word determined by the determination device as speech information during a waiting time until the result of the speech recognition requested from the request device is obtained from the speech recognition server; and a response device that, when the result of the speech recognition is acquired from the speech recognition server, executes a process of responding to the user based on the acquired result of the speech recognition.