The Doctor would rest ... later. At the moment, he was quite busy with the important business of kissing the woman he loved. He'd been around the block more than a few times, but this was new and different. This was a proper kiss, their first, and every bit of longing and love he had felt for all of the years that he had known Rose Tyler went into it. This was the sort of thing a Time Lord memory was actually good for, the sort of thing the Doctor wanted to remember in minute detail.
Unfortunately, there was the small matter of needing to breathe. The two of them eventually had to come up for air, though the Doctor refused to let go even then. In all honesty, Rose was about the only thing keeping him upright, but he didn't mind. Any excuse to hold her was a good excuse. Anyone who watched the two of them together could easily see how deeply their feelings for each other ran. When had the Doctor ever been so reluctant to break contact with anyone except with Rose? Oh, he'd held other companions' hands, lifted them up and spun them around, but with Rose, it was a constant, as though he couldn't bear to be separated from her by so much as an inch.
"Stay?" he asked, voice husky and, if he were truthful, a tad bit breathless.