LOTR: Why Does Gandalf Silence The Hobbits In Front Of The Mouth Of Sauron?

gamerant.com:

One of the most elusive characters in all of the Lord of the Rings film adaptations is the Mouth of Sauron. Not only does he have one of the shortest appearances on screen, but also, very little is explained in the movies about his character and what purpose he serves for the dark lord, other than treating with the enemies at the gate to try to get them to fall prey to his master's demands. He is well known for his over-sized, oozing lips, cracking at the seams from the poisonous words that spill forth out of them.

But there are many questions that arise from the scene in which the Mouth of Sauron appears. There are questions of Aragorn’s honor with the very uncharacteristic beheading, questions of exactly what terms Sauron might have laid out had the Mouth had but a chance to relay them. Finally, there's the question as to why Gandalf, who is known to be highly loving and compassionate towards his dearest friends, would silence his companions when they grieve for the loss of Frodo, their kin.

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The scene comes about when the Mouth of Sauron holds up the hobbit-sized chain-mail, made of the rare and precious Mithril that ensures it is unmistakably Frodo’s, a gift handed down from Bilbo and his own adventures with the dragon in Erebor. The Mouth states, “I have a token I was bidden to show thee,” and holds up the Mithril jacket, which was last seen in the hands of an orc, escaping the ruckus in the tower of Barad-dur after searching Frodo, whom they had captured thanks to Shelob’s nasty sting. When he reveals the mail, Pippin gasps “Frodo!” and Merry cries “No!”, to which Gandalf commands “Silence!” This seems very out of character for Gandalf. Many