Notice the title: An Awakening is Coming. As in, one.
"Beginning after the maintenance is complete on October 16th, some Kamihime will be able to release their full potential and reach never before seen power levels!"
This is still consistent with one on October 16th, with more to come later.
Granted, this wasn't the clearest away to explain the mechanics of one awakening per month, but precision communication was never Nutaku's strongpoint.
I don't think it's likely that Nutaku will deviate from the DMM schedule by awakening kamihime at a faster rate, as that would cause them to eventually run out of awakenings. They're definitely not going to make new content (character art, character animations) just for us.