It was a brand new Doctor, but, in a way, Rose could still see that it was him. Her. Her mannerisms were so familiar and Rose didn't feel that awkwardness she was worried about meeting another Doctor, especially one from the future. And the most important issue had been addressed; she definitely remembered Rose. She had been terrified that she would become one of the forgotten, but she should have known better; while the Doctor may get swept up with their adventures at the moment, they would never truly forget their companions that traveled with them.
"I wouldn't say late," Rose mused, a cheeky grin spreading across her face. "But you're definitely a wanderer. I'm sure he just saw something interesting and went on his own mini-adventure. Although, we should probably time him. If he's not here, we might have to send out a search party." For once, Rose didn't mind that the Doctor had gone on his own adventure. It gave her a chance to meet this Doctor, get to know her. Maybe try and get some information from Thirteen...
Except it seemed that she wasn't budging on the whole 'let me tell you your future'. Which...Rose could understand. She didn't necessarily like it (as she was sure the face she was making indicated), but she could understand. "Alright," she mumbled, not liking the idea of her going back. At least not alone. The whole reason she had left in the first place was to try and find the Doctor and now she had two. Despite the improbability of this exact situation, they didn't seem to be in any danger of bad things happening, so she was going to enjoy this for as long as she possibly could. She knew the Doctors wouldn't be along the same mind frame, eager to find a way out and to right this wrong.
"Have you been through the doorway Doctor? I've only read about it, but they sound...weird." Rose still felt a bit unsure going in without any sort of weapon, but knew the Doctors would probably prefer it that way; she had just gotten so used to her training with U.N.I.T. that she felt a little exposed not having something to protect herself. Before, she had been fine with the Doctor doing it, but being away from him, she had to figure things out for herself. And, unfortunately, weapons were the best fit.
"It'll kinda be like old times, yeah?" She grinned, turning her thoughts from having to tell them that she used a weapon for her mode of defense. "So...if you won't tell me about my future, can you tell me about yours? What have you been up to?" She pulled herself up to sit on the edge of the well, her heels kicking against the stone.