Well, here's what happened with my daughter - her "friend" wanted her to go. They had been friends for about a year thru our 4-H club - this was a 4-H camp. I didn't have the separation issues as bad as you but I was still a little apprehensive. My daughter was not sure she wanted to go but I encouraged her because even tho I had no personal experience with camp, I THOUGHT she would have fun; my son had always had fun with the Boy Scout camps, etc, so I figured why not!
WELL.... the so-called "friend" ditched my daughter the very FIRST day because she found someone from school she didn't know was going to be there!!! Instead of blending the two friends, she left my daughter just hanging!!! My daughter sufferered thru the first two days totally alone and then the counselor FINALLY let her call me - VERY late at night!!! She was absolutely hysterical and although I was willing to drive the hour to get her, I was able to calm her down enough to stay the night and I drove down VERY early the next morning and got her. Turns out, the counselor in the cabin didn't even try to help; she was totally oblivious!!!! I was absolutely horrified by the whole experience!!!!
Needless to say, she has NEVER asked to go to camp again!!!! And as for the "friend" - never spoke to her again!!! I spoke to her mom about it and sure, she sent a little note apologizing but the damage had been done!!!
So, in my opinion, if you force her to go, I hope the camp isn't too far away and you're prepared to lose your money!!!
There will be other opportunites for her to deal with the separation issues!!
Good luck!!!