I believe the Doctor would be caring of Rose's emotional welfare before he goes all sciencey on her.
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Previously
The Doctor pulled Mickey into a hug while the man sobbed. He cried too, his regret and guilt would never fade even though Rose absolved him. Mickey pushed him away after a few minutes and dried his eyes with the end of his t-shirt.
"Go to her. She needs someone." With that, Mickey Smith turned and walked away.
The Doctor's hand rested on the door handle and tried to find the courage to enter. When he did two minutes later. he turned the handle and walked in. The door to the ensuite was opened. The shower was running, steam was escaping into the bedroom. The Doctor walked into the bathroom, shucking his bloody jacket and loosening his tie. He could hear sobbing from the shower, the outline of Rose was a small shape at the corner.
He slid the enclosure opened and entered, closing it back when he did. Rose did not move or stop sobbing when he came in which was worrying for him. The shower was painted with the tinges of blood on the walls and the floor, mostly concentrated on the corner she sat in. He got down to her knees before her and raised her head from between her legs. "Let's wash this off you."
He gently raised her up and made her stand under the spray, letting the blood run off. When most had washed off, he massaged her hair with shampoo and then conditioner. He took a wash cloth and soaped it, rubbing it softy throughout her body. Rose leaned on him at some point and clutched at his wet shirt. When he was done, he stripped himself and threw the clothes outside. Rose still clung to him. She let him wash himself and moved when necessary but still maintained contact with him. The Doctor then stepped out for towels and dried her off, wrapping her in the fluffiest towel he had bought for her at a marketplace at some place at some time he couldn't remember at the moment. He quickly towelled himself off and guided them both to her room. He dressed her in a simple vest and drawstrings while he took some of the clothes he left behind for movie nights in her bedroom.
He placed her under the duvet and went under too, Rose rolled to rest her head on his chest. "Thank you," she breathed. It was nice to have someone take care of you she decided and she needed that now. She felt the Doctor kiss her head and tightened his hold on her. "My precious girl," he whispered in her ear. Rose looked up at him. "I would do it again if I have too. I'm not saying that it didn't affect me because it did but I would do it again."
The Doctor's breathing hitched. "I never want you to. What if you never come back to life again? What if you never came back to life in the first place? I've lost you once already. I can't bear to do that again."
Rose wiped the tears from him face. "Will you be running tests on me?"
"Not now." He stroked her back. "Not until you're ready."
"My mother will have to know about this. She is not going to want you near me again." Rose played with the button on his pyjama shirt.
"She's right not to. I abandoned you and Mickey and I let you die." The Doctor turned them and propped himself on his elbow, so he was on his side looking over her.
"If you didn't then human history would have changed. You needed to." She cupped his face. She needed to keep touching him.
"But not at the cost of you!" A tear from his eye splashed on her cheek.
She wiped it off. "Doctor, you said it before. Humans wither and then die. If it is my time, I'll go."
The Doctor needed to say it now. He lost her already and regretted ever moment he wasted with her. "I will let you go when the time goes Rose Tyler. It will be the damn hardest thing I'll do for love. I refuse to let our time together be wasted."
Rose looked at him with bright wide eyes, eyes in which he could see her love. Her eyes began to water and a sole tear ran down her face. He wiped it away.
"Rose Tyler, until my dying breath in any regeneration, I will love you unequivocally and unconditionally."
It was then he kissed her. She brought up her hand to comb through his hair. They kept it tame, too tired from the trauma to push any further but the sentiment was known.
"I've loved you since run," she whispered in his ear and he kissed her again. "Did you save her? Madame du Pompadour?" Rose played with his hair, then ran it down to his sideburns.
"Yes. I did. She stepped into my mind Rose. She was brilliant. One of the most brilliant women from your planet." His eyes were alight talking about her. Then his expression became ashamed. "I kissed her. Twice. Well she kissed me first but I responded so that makes me guilty of kissing her and I initiated the second one but-"
"Doctor!" Rose cut him off. He was rambling again. Rose smiled at him. "You sound like such a fanboy. I'm not angry. I suppose she was like a celebrity you fancied." She rose up and kissed him. The Doctor pecked her again when they parted. "And she was a courtesan so she can make any man fancy the pants off of her. Plus you are her childhood hero. A girl can get a little infatuated." The Doctor blushed and buried his face in her neck. Rose chuckled. "I hope you offered her a trip. She was so brave."
The Doctor was proud of his Rose. Accepting of everyone. The two women were more alike than either of them thought. "I did. Told her to pack a bag."
She pushed him back to lay down and rested her head on his chest. "We'll pick her up soon. I need rest. Regrowing body parts has knackered me out."
The Doctor cringed but kissed her hair. "Goodnight Rose. I love you. Remember, testing when you're ready."
Rose was already comfortable on his chest, snuggling further. "Love you too Doctor."
The two remained awake despite their comfort. Neither of them choose to break the peaceful silence. Rose turned her nose into his chest and inhaled, the Doctor stroking her hair.
"There was this golden light," she started. The Doctor quickly sat up, pulling Rose with him. The Doctor held her chin and looked into her eyes. Rose noted they were burning with that need for knowledge, to find out what had happened. She had to continue for both their sakes.
"Then I saw myself, 'cept I was golden. My eyes were golden. I was wearing the pink hoodie from the game station. The day you..."
"Rengenerated..." The Doctor whispered. How that day would haunt them. "Bad Wolf. She brought you back. Why?" Rose arched her eyebrow at him. "I am grateful that she did!" He sputtered. "But why?"
Rose shrugged. "It wasn't my time she said. I'm apparently needed for something else." Rose sighed and brushed her hair back. "I have no clue what but it's what she said."
The Doctor was quiet. Rose knew his brain was processing the data she had given him faster than any computer possibly could. His look was intense when he rested his hands on her shoulders. "Tomorrow. We'll deal with this then. You need sleep." Rose opened her mouth to protest. "Yes. I know I need sleep too." He lay back and pulled Rose over him. He kissed her gently and said, "Tomorrow. Now rest."
He did not sleep a wink that night.
And here I thought this was the end... Another chapter (or chapters) has magically made its way into this. I have to work out some finer details...