Pete doesn't even bother to show her anything other than a blank, vacant expression as he sips his coffee and watches her flip through the charts in question. Lita has an even bigger stick up her butt than usual today, apparently, and he's not sure he has the energy to actually deal with it. Not when he has more things on his mind than usual and he's trying to not let his concern for Dani's well being get in the way of him doing his job.
He does his best to ignore super aggro way she's going about the whole thing. If she wants to rage at him, that's her problem, not his. It's not Pete's job to be her punching bag. All things considered, though, the particular point she's making today isn't something he wants to overlook. Dealing with the aftermath of the Annihilator could've led to him making a genuine mistake, even though he seriously doubts that the chart's as bad as she says.
"Give me the chart, then, if you're so sure it's a hot mess." He holds his free hand out expectantly, not even bothering to stand up and move back over to her table. If it's a real issue, Lita's commitment to medicine will mean she'll give it up without any pushback. There's the possibility that she'll give it to him even if there isn't a problem with it, of course, but Pete's willing to take that chance. "I'll redo it right in front of you so you can give it your super important approval that trumps everyone else's here at the hospital."
He wiggles his eyebrows at her. It's not necessarily arguing back, but Pete's sure she'll love the casual way he's responding to her.