My girlfriend wants to be in my troupe and I don't want her to be.
Why? Is there a reason why you don't want her on the troupe?
I would have felt uncomfortable if she does.
You should try your best to include your partner in everything you can. If you don't feel comfortable with her being on the troupe you should talk to her about it.
Nah I think it will be better if my friend to yells at her to make her leave.
That is not a good way to handle it but really why not include for a bit. You might like it. It is good for partners to do things together.