You can take the time to get the undertones to work...or you can find a nice, big, attractive area rug that helps separate these two woods = easiest way to go about it.

Rosewood can be tricky because very few "natural" hardwoods come in "pink". Of course Jatoba (Brazilian Cherry) has a pink component to it...but you aren't always guaranteed to get the pink/purple presentation.

And then you have to ask yourself: "Do I want pink hardwood?" Probably not. You could work with a cherry. It will start out a pale beige...and then strengthen to a mid-tone brown with hints of red in it. But you will never be sure which colour you will end up with.

Or you can start with white oak and have a light stain added that has some of the same undertones as your Rosewood. But the honest truth is the area rug + natural coloured wood (of some sort) is the easiest solution.