@ollieDswimmer,
You haven't won the contest yet. Good grief. Did you bother to check the odds? What happens if you stay behind ... and still (very likely) lose the contest? Is that worth tearing your family apart?
Or is this more than just a contest? Are you harboring ill feelings/deep, passive aggressive bouts of jealousy/envy against your successful sister?
Full disclosure: I live in NYC. I consider NYC the best city in the galaxy. Moving is stressful (with all it's social and cultural changes and obligations). I get that. But this guaranteed opportunity is 1000 times better than a 2% chance in seeing a tourist's eye view of London.
I suspect you will still have time enough in your life to visit London at a later date. And with emotional and intellectual maturity gained at a later date? You might appreciate the majesty that is London as an older individual than you expect to in the now.
PS: Congrats to your sister. The Culinary Institute of America is a world renown cooking school. Damn! That's an impressive win for her!