Matthew Poole and continuators on 1 Kings 19:13

13 And it was so, when Elijah heard it, that he wrapped his face in his mantle , and went out, and stood in the entring in of the cave : and behold, there came a voice unto him, and said, What dost thou here, Elijah?

Through horror and dread of Gods presence, being sensible that he was neither worthy nor able to endure the sight of God with open face. Compare Gen. 16. 13. Exod. 3. 6.

Which God commanded him to do; and as he was going towards the mouth of the Cave, he was affrighted and stopped in his course, by the dreadful Wind, and Earthquake, and Fire; and, when these were past, he prosecutes his Journey, and goeth on to the mouth of the Cave, and there stands still. Or, the words may be rendred, After (as Vau is elsewhere used) he was gone out, and standing in the mouth of the cave: which may be mentioned as the reason why he covered his Face, because now he wanted the shelter of the Cave.