To be fair, "an awakening" in that sense doesn't necessarily mean singular. If it's talking in general then multiple Kamihime could fit within "an awakening" happening. Now I think they'd likely keep it at one to match the pace, but you never know. They could always open it up for two of three in the first month to create some hype and drive sales for the Draconic Eye Shard Gacha. Then after the first month or so they could slow it down to one a month and still wouldn't be in any danger of catching up.

Now I do think the most likely result is one at a time because Nutaku isn't that dedicated. The lack of clarity is probably just due to them not being great at clear writing.