Bridal Glory

I see that Peter Leithart has also commented on this "covering" language, and He noted that it can also refer to bridal chambers (cf. Ps. 19:6, Joel 2:16).

And this fits with the Edenic imagery. Eden was the original trysting place, where God was married to His people, where the bride was naked and unashamed, and where Yahweh covered His bride with His glory.