I think you need to let her go, and I think you need to go with her. If not, you are putting the responsibility for watching over her on the other parents/coaches, and unless you've made sure they are okay with taking that on, you need to be there. Sure, she's in her teens, but she's in a busy place in a strange city, and things happen.
I can completely understand why you'd rather not be in a busy buffet restaurant with a team of preteens/teenagers, but I think that you should sacrifice one of your 4-5 quiet dinners in the city for your daughter's sake. You could always go, not eat, take DD back to the hotel, and go out for fabulous food with your DH later.