Don't worry Hatshushimo, you'll get the kai ni you truly deserve... One day...
That's not the problem, per se.
The other three are summoning Kokkuri-san, a fox-spirit, to tell their Kai Ni fortunes (since Ushio just got hers). Fox-spirits hate dogs as a natural enemy, so the two destroyers "born in the year of the dog" were scared away to keep them from disturbing Kokkuri-san. Hatsushimo wasn't asking for a Kai Ni at all, she was just shooed away for reasons she doesn't understand.
Frankly, I doubt they'll make any starter ship have a Kai Ni until they're ready to give them all Kai Nis, since that would take away the evenness of the choices. Besides that, Akebono's WAY more popular than Oboro. (Or at least, NOTABLE, since she seems to have more players who hate her than anyone else.) So of those three, I think it's pretty likely to be Akebono.
They should of kept an eye on Fubuki... Year of the dog...? I don't really understand but good for Hatsushimo as well.
November 13th
With each week passing by, my friends became anxious about who among them is going to become Kai Ni next.That's why they tried asking Kokkuri-san. As well as various other ideas like keeping people who were born in the Year of the Dog away.Kokkuri-san, Kokkuri-san. Among the 7th Destroyer Division, who's going to become Kai Ni next?Year of the Dog. (1934)