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The silence of the biblical writings about the Edomite deity provides circumstantial evidence for its identification with Yahweh. Further indications strengthen this claim.
First, Edom is qualified as 'the land of wisdom' in Jer. 49.7 and Obadiah 8. In a monotheistic context, it is difficult to assume that wisdom would have a source other than Yahweh. Furthermore, it seems that the book of Job, the main 'wisdom book' of the Bible, has an Edomite origin, thus strengthening the linkage between Edom and Yahweh.
Second, the worship of Yahweh in Edom is explicitly mentioned in Isa. 21.11 ('One is calling to me [Yahweh] from Seir'), and the duty of Yahweh in regard to his Edomite worshippers is stressed by Jer. 49.11 ('Leave [Edom] your orphans, I [Yahweh] will keep them alive; and let your widows trust in me').
Third, according to the book of Exodus, Esau-Edom and not Jacob-Israel had to inherit Yahweh's benediction from Isaac (Exod. 27.2-4). This suggests that, before emergence of the Israelites alliance, Esau was the 'legitimate trustee' of the Yahwistic traditions.
[Fourth]: The Israelite nazirim (the men self-consecrated to Yahweh in Israel) are compared by Jeremiah to the Edomites: 'For thus says the LORD: If those [the Israelite nazirim] who do not deserve to drink the cup still have to drink it, shall you [Edom] be the one to go unpunished? You shall not go unpunished; you must drink it.' Such a parallel between the elite of the Israelite worshippers (nazirim) and the Edomite people as a whole also suggests that Edom was the first 'land of Yahweh'.
[Fifth]: The primacy of Edom did not disappear quickly from the Israelite collective memory. This point is clearly stressed by Amos (9.11-12): 'On that day I will raise up the booth of David that is fallen, and repair its breaches and raise up its ruins, and rebuild it as in the days of old; in order that they may possess the remnant of Edom...'
Together, these five points suggest the conclusion that Yahweh was truly the main (if not the only) deity worshipped in Edom. In this case, it is likely that (1) the name of Yahweh was not used publicly in Edom, and (2) 'Qos' was an Edomite epithet for Yahweh rather than an autonomous deity. (pp. 391-392)
from 'Yahweh, the Canaanite God of Metallurgy?', JSOT 33.4 (2009): 387-404
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