Parashas Vayeilech · Passuk 31:18
Yet I will keep My countenance hidden on that day, because of all the evil they have done in turning to other gods.
Torah Temimah points to Chagigah 5b (חגיגה ה' ב').
English: is not from among them. The Sages said to Rava: Master, you are not subject to His hiding of the face, as your prayers are heard, and you are not subject to: “And they shall be devoured,” as the authorities take nothing from you. He said to them: Do you know how many gifts I send in private to the house of King Shapur? Although it might seem that the monarchy does not take anything from me, in actuality I am forced to give many bribes. Even so, the Sages looked upon Rava with suspicion. In the meantime, messengers from the house of King Shapur sent for him and imprisoned him to extort more money from him. Rava said: This is as it is taught in a baraita that Rabban Shimon ben Gamliel said: Wherever the Sages looked upon someone, it resulted in either death or poverty. With regard to the verse: “And I will hide my face in that day” (Deuteronomy 31:18), Rava said that the Holy One, Blessed be He, said: Even though I hid my face from them and My Divine Presence is not revealed, nevertheless: “I speak with him in a dream” (Numbers 12:6). Rav Yosef said: His hand is outstretched, guarding over us, as it is stated: “And I have covered you in the shadow of my hand” (Isaiah 51:16). The Gemara relates: Rabbi Yehoshua ben Ḥananya was standing in the house of the Caesar. A certain heretic, who was also present, gestured to him, indicating that his was the nation whose Master, God, turned His face away from it. Rabbi Yehoshua gestured to him that His hand is outstretched over us in protection. The Caesar said to Rabbi Yehoshua: What did he gesture to you, and how did you respond? He replied: He indicated that mine is the nation whose Master turned His face from it, and I gestured to him that His hand is outstretched over us. The members of the Caesar’s household said to that heretic: What did you gesture to him? He said to them: I gestured that his is the nation whose Master has turned His face from it. They asked: And what did he gesture to you? He said to them: I don’t know; I did not understand. They said: How can a man who does not know what others gesture to him dare to gesture in the presence of the king? They took him out and killed him. The Gemara relates: When Rabbi Yehoshua ben Ḥananya was dying, the Sages said to him: What will become of us, from the threat of the heretics, when there is no scholar like you who can refute them? He said to them that the verse states: “Is wisdom no more in Teiman? Has counsel perished from the prudent? Has their wisdom vanished?” (Jeremiah 49:7). He explained: Since counsel has perished from the prudent, from the Jewish people, the wisdom of the nations of the world has vanished as well, and there will be no superior scholars among them.
Derash on the verse (Bavli sugya) — not a formal named middah of the 13
The Gemara uses this passuk inside a sugya (question, proof, or illustration). That is classical derash, but not labeled here as one of R' Yishmael’s 13 unless the move is explicit.
Hester panim is linked to the people’s initiative in seeking foreign powers: the concealment matches the relationship they chose.