If he was happy, then Rose was elated. Completely and totally ecstatic. Because, as far as she knew, he'd been left alone somewhere thousands of years in the future about to die. It was the reason he'd sent her away, after all.
It was him. Her Doctor. Her crazy, goofy, silly, wonderful Doctor. It didn't seem possible. It was impossible. Nineteen ninety-three and two-thousand five were one thing. But he was from centuries, millenia away. And yet he was there, at the foot of Remy's makeshift couch. And no power in the universe could stop her from flying at him as fast as she could. Rose ignored the offered hand and sat up as quickly as she could squirm out of the blankets holding her. "You're here, you're here, you're here," she babbled helplessly as she gripped him tightly, burying her face into the familiar scent of his leather jacket.
It could've been an alien race that disguised themselves to be someone familiar to you before they ate you. It could've been another one of those experiments, like being stuck in the room with Dr. Smartass. But at that point? She didn't give a damn. "You're alright," she mumbled into the black fabric. "But how? Are you okay? When did you get here?" She pulled away only long enough to touch his cheek and look into those bright eyes before gripping him firmly again. She'd been so afraid she'd never see him again and now there he was.