I just wanted to say that as a lifetime GirlScout, I am so upset to hear what is going on in your daughter's troop. I did scouting from brownies all the way up to being a member of the Board of Directors of my council for 2 years. This is NOT what the Girl Scouts aim to teach girls and it's deplorable that the leader would allow it to happen, let alone even downright condone it.
I had a troop much like your daughter's when I was a kid and I loved it. We were small and because of that, it made us all EXTREMELY close. I'm just so sorry she's going thru this.
Please know that there are things you can and should do. First, contact your association. The name of that association is on your daughters sash right underneath the badge that says the name of the council. I would call your council and let them know what's going on.
Someone posted that they let anyone be a leader in GS's and that's not the case at all. Leaders are screened and trained on what it means to be a leader and they have to show they understand all that before they are even allowed to become a leader. This leader is not following what she learned and she can be punished for that, like being put on a list of people who are not allowed to have a troop again.
Lastly, I would ask your association about other troops in the area. Girl Scouts is set up to be a sisterhood, something that you will remember forever. Part of what makes girls love it is the experience they have with the other members doing things together. It sounds like the personality of your daughter isn't fitting with the personality of the other girls in that troop and she really needs to leave. I'm sure there are other ones around who would be a better fit for your daughter. When I was about to become a Cadette GS, I had been approached about another troop wanting me to be a part of their group. I flirted with the idea for a brief second, but realized I loved the small troop I had been in for years and stayed with them. When I was 14, though we had a tragedy hit the troop and I had to leave. I found another troop that finished with and it worked out for the best. Have her "shop around" a little bit, trying out a few troops to get the one that would be a fit for her. Girl Scouts is kind of like a college sorority. I don't know how familier you are with that, but during Rush Week if you want to pledge, you attend functions of each of the sororities and see which one fits in with you best. They then choose you because your philosophy/personality fit best with everyone else there.
Like I said..have her visit other troops and see if there is another one where she might have more opportunites to be who she is and be accepted. That is the ultimate goal after all.
Let me know if I can help in any way, feel free to email or PM me at any time. Good luck and I hope it all works out.
