Rogue passed out, most likely from blood loss before they reached the Institute, but Remy never stopped walking them home. The rain had stopped, started, and stopped again.
"Hank!" he yelled running through the gate. "Rogue's hurt!" Hank greeted the couple within moments and immeditally started patching up the injured Rogue.
"She'll be okay?"
"She should be fine, Remy. What happened?"
"Crashed." Remy didn't take his eyes off Rogue's motionless body.
"You need to be checked out too, Remy. Here, have a seat on my exam table, I promise I won't move Rogue out of your sight until she wakes up, smacks you and you know she's okay." Remy nodded and allowed Hank to examine him. At some point Remy managed to fall asleep, sound asleep in a hospital bed right next to his girlfriend's.
"Remy?" Rogue whispered blinking her eyes open. At first she couldn't figure out where she was, or why her head felt stuffed full of cotton balls. Ick! I hate cotton balls, they remind me of Kitty... wait, where am I again? Shaking off the grogginess of the medication Hank had given her, Rogue sat up slowly. "Remy?" she repeated and then noticed the bed next to hers. By now she'd figure out she was in the infirmary, at the Institute, her head felt that way because of most likely painkillers to help her heal from the gash from the crash. She smiled softly when she saw Remy asleep.
"Aww," she whispered kissing the fingertips of her glove and placing them against Remy's cheek. She settled back in her bed and soon fell back asleep leaving Remy with a smile across his face.