Hello there.
I just think that it's better to be honest regarding this issue, because the sooner you let her know, the better. I know that it's sorta scary opening up to her, but think of how you'll feel after you tell someone. You are worth it... just remember to stay safe, and be open. If you let supportive people know what you're going through, chances are that they'll assist you and try to help you rather than look down on you or talk stupid shit.
The ones who do stupid things like that aren't worth thinking about anyway.
Also, perhaps you could stay in contact with her throughout your trip to New York so that you can enjoy yourself as well as remain safe in the meantime. Most of all, your counselor and your parents just want the best for you.. so remember that whatever happens.. it's for the best. Stay safe, and remember that you're loved.
I got your back too so feel free to rant away to me !