Julia
I have travelled the world with JY, and like you I am a vegetarian, make sure its on your reservation with the girls in the office and that it's on your paperwork you get through, then JY should sort meals out. On one long haul flight I wasn't down as a veggie not JY fault so was very hungry when we landed. Some countries I have not fared very well, as some hotels just offer you one thing as an alternative, they will try and help you but I don't feel they will put them selves out to far I would say this is on just hotels, I work on this assumption being a vegetarian is a personal choice of ours, I don't expect people to go out of there way to accommodate my choice, so therefor if countries allow I take some snacks and pasta meals with me so if need be I can grab something.
I am sure you will be fine, but if you can take some nibbles just in case.
Cindy