Naruto's day has not been fantastic. Beyond the annoyed (and yet slightly guilty) looks from Sakura, the confused gaze of Sai and the cool attitude of Kakashi-sensei, his run in with Kiba had not done him any favours.
He has heard the name Danzo before. Naruto's a bit dumb, but he isn't totally unobservant. This guy was the one who trained Sai into being an emotionless drone, and with a bunch of other things that had pissed off the old hag Tsunade (and the old man, now that he thought on it), he knows that this Danzo guy is trouble. Oh, and he's also possibly the Sixth Hokage.
Ignoring the irritated ache that he hadn't been considered for the position even after he saved the village from Pain, he walks through the streets. Of course, the other part of the problem is that Danzo wants to have Sasuke killed, which Naruto could never allow! It doesn't occur to him that Sasuke is working with the enemy. It doesn't occur to him that when someone tries to kill you, you shouldn't consider them a friend any more. The common sense from yesterday, the common sense that made him try to get closer to Hinata, doesn't seem to show it's face when Sasuke is on his mind. He wants to go to Danzo and demand he changes his mind, fight him if he needs to, but something restrains that impulse.
It's a desire to see Hinata, and it doesn't occur to him that spending time with her has somehow usurped protecting his "best friend" from the consequences of his own actions. It just feels natural.
Perhaps he's come to enjoy the support she gives him. Or it may just be that she's good looking and wants to spend time with him. To him, it's so many things that he doesn't see a point in making any kind of list.
He's not concerned that Hinata won't be able to find him if she has time for him; it should be a snap for her with her eyes. In fact, he's hoping she finds him. He could use a little light in his day right now and spending time with Hinata is like hanging out in a sunny place, if he were to continue with that train of thought.