Maybe Yuji is aroused, lawl.

The battle with Friagne is over, but Shana prepares for a fight with the Interpreter of Condolence Margery Daw. (I have no idea WTH her real name is, so I'll just go with whatever the fansubs say.) However, Margery says she's got more important fish to fry (Rammie) and flies off. On the way home, Yuji suggests to Shana that she could train him, so that he could help her in battle. (Hmm, where have I heard this before? Oh right, Fate\Stay Night.)
Meanwhile, Margery's lost track of Rammie, even with Satou and Tanaka helping her.

You're using WHAT as a phone?
Rammie reaches the barrier that Margery has set up around the city, and says how the tables have turned since he was the one who purposely led them here. Back at Satou's house, a drunk Margery is throwing a fit and swinging Marcosius around - much to the latter's chagrin. After they find out that Margery's hate of Tomogara stems from a frightening encounter in the past, she settles down to sleep on the couch. Satou's growing affection for Margery is evidenced when he tucks her in.
Next morning, Shana is shown smacking Yuji over the head a good amount of times with a pole. He begs her to stop, and she explains that he needs to keep his eyes open for training. She is about to smack him again when Yuji's mother shows up, offering them tea. Yuji's mother offers Shana a bath, while Yuji and Alastor talk. A few important things are mentioned - Rammie should not be hunted because of all the power of existence he's collected, it would be akin to setting off a bomb; Friagne's ring which is now in Yuji's possession is called Azur; and that Alastor is changing along with Shana: Yuji points out that he refers to her by 'Shana' for the first time.

Obligatory Shana taking a bath screen.
At Friagne's old hideout, Satou and Tanaka have found the crystal platform, called 'Haridan'. It is essentially a more powerful map, and Margery intends to make use of it to capture Rammie. Margery tells Satou and Tanaka to keep a good eye on it, and let her know via paper cell phone when he shows up.

It's quite blue.
As Yuji and Shana walk to school, Yuji spots Yoshida, whom he intends to go apologize to for yesterday. He's stopped by Shana, and she's saved from the problem of explaining jealousy when they see Margery's unrestricted spell. The two immediately move into action, leaving a puzzled Yoshida to wonder why Yuji and Yukari-chan are together.
Margery is encountering a bit of a problem - Rammie keeps disappearing. She says that Rammie shouldn't be able to teleport without her sensing it. Satou, however, notices that there are bird torches on the Haridan. Using her smarts, Margery very quickly figures out what Rammie is doing.
In an effort to reach Rammie before Margery does, Shana and Yuji are heading in the direction they sensed him with Margery's first spell. (Using unrestricted spells = sharing with everyone else, apparently.) With Margery's second spell, Rammie's location is entirely different, puzzling Shana and Alastor. Yuji figures out that they are doing it wrong, and suspects that Rammie is actually in one place and using decoys. This revelation leads Shana and Yuji to be completely lost, so Yuji suggests they head to the museum he was at yesterday. Shana tells him to grab onto her as she prepares to jump.

Tighter!
Well, Yuji's right. A more in-depth explanation is given by Margery, who says that when one of Rammie's decoys is found, it turns into bird torches and fly back to him. She thanks Satou and Tanaka for their assistance, then cuts off communication with them. This, of course, doesn't go over very well for the two of them.
Meanwhile, as Shana and Yuji reach their destination, Shana is in a good mood and feels like she can do anything as long as she's with Yuji. Awwh.

Thoughts:
Shana's dere-dere side is definitely more prevalent in this episode, as she generally only has positive thoughts on Yuji. We're provided with character development for Margery, albeit very minimal. The one thing I do not really like is how they have already shown gray area regarding Tomogara in the form of Rammie. By introducing him so early in the series as 'not a bad guy', the definition of Tomogara = bad is really undermined.