I'm with AnneB on this.
This is not a religious issue. This is a legal issue, and a family issue.
A parent has absolutely no right to turn their child against their other parent. Both the child and the parent have a right to a normal relationship with each other, without the other parent interfering. Contact your lawyer on how to proceed; mediation would probably be better than going to court right away.
And what Millie said: try to make your daughter love every minute she spends with you. In the long run, there are not much children in the world who choose field service and meetings over having real friends and fun.
Focus on the long term while building yhe relation with your daughter. It's better to suffer a bit now, and have a good relationship with your her in years to come, than the other way around.
Btw I'm curious...is your daughter willing to listen to her mother and ignore you because your daughter is really into the cult? Or just because she's a teenager eager to not listen to her parents (now with permission)? Or because you already have a bit of a strained relation with her (regardless of the cult)?