This week's twee comes from last week's All New Atom #17.
Yes, the dog is adorable. Put an adorable fluffy animal in the arms of a princess (even an Amazon princess in disguise), and you get... well, duh, you get twee.
Head is not a cute fluffy animal, but Diana seems to have him tamed as well. Because she is a princess and can do that. It's like Disney in Ivy Town:
Come to think of it, there probably is a wormhole to the Disneyverse in Ivy Town, though it's no doubt heavily guarded by hoards of copyright lawyers and whatnot...