My main objection is the fact that he seems to have become morbidly obese; I know he wasn't the slimmest president ever, but in any of the best known pictures of him he wasn't near this heavy. I'm not disrespecting overweight people, just objecting to the fact that this weird decision means that Teddy looks nothing like he really did. This looks more like William Howard Taft:
I do though like that they have chosen a more recent president than Washington though. Though the USA's GDP was still increasing as a percentage of the world's GDP, and the USA had not yet reached the apex of its power, which it wouldn't until after world war two, Teddy is still far closer to America's peak significance than Washington. Obviously Washington is still hugely important figure in history, but if they are going to only include one leader for each civilisation, I prefer it when Firaxis chooses leaders who represent their civilizatons at their greatest (for the same reason I feel like Elizabeth I and Wu Zetain aren't the best choices for those countries, particularly Wu, so I am glad to hear she has been switched out for Qin).