Yes, it is pretty clear that she chose him deliberately, as a political match, from the conversation she has with her father afterwards.

Marco Polo really isn't nearly as bad as some critics are saying.
Sure the Polo character himself is boring, but Kublai Khan is fascinating. What a surprisingly great Mongolian actor they found to play him! And what an unusual and rarely explored time period. I'm sure it's not horribly historically accurate, but…

The thing that is so horrifying about it is that it's purported to be kind of about world peace and social harmony, but actually it's just a reminder that you're outnumbered and oppressed by the conformist multitudes crapping up the planet.