Swelling can cause asymmetry, and this can take a few months to resolve. At this time, I would recommend the following:
1) Give it some time and see how you continue to heal
2) Follow up with your surgeon regarding any specific questions or concerns
I hope this information helps, and I wish you the best of luck.
You need to wait at least 3 - 6 months to see your final result. I agree it looks asymmetric but there may have been more swelling on that side. Plan on seeing a Board Certified Plastic Surgeon in NYC 3-6 months after your return to assess your result and advise you.
It does take several months for all of the swelling to resolve after placement of a chin implant so you will not be able to judge the results of your surgery 2 weeks afterwards. Swelling can be asymmetric, so it is possible that the appearance will even out with more time. There is not much you can do but wait at this point. The only way to correct an implant that is not placed symmetrically is to have surgery to move it. Sometimes, it is possible to use fillers to balance any asymmetry as well.