I love Rose/Doctor and ship them! But at Valar, Rose is currently dating a character named York!
I'm not sure if you've been able to read the concept of Valar (I'm guessing yes?), but Rose hasn't started dreaming of Ten yet! So we could come up with a great dynamic if he's newer than she is to the network, but starts to dream of her before she gets there!
Once the dreams begin, I imagine it would be a bit awkward as Rose dreams of her feelings for the Doctor while still with York, but I would hope they could be fairly fast friends! You can't break that kind of bond!