I understand your concerns. There are couples that do not have any sexual interactions and remain in relationships. However if you are using intimacy in meaning no romantic type behaviors at all then that is a problem. A relationship cannot survive with no physical or emotional interactions between two people. Then add that you may want a very emotional romantic bond and she may not. The relationship has to be the same for both of you. If she is convinced that this is against her religious values then a compromise cannot be reached. This is a huge decision but you both have to find a compromise. If you can't then you have no choice but to separate. Before you reach that point ask your therapist to let you ask her to join a few sessions and offer assistance to reach that compromise. Or you can find a therapist trained in lesbian relationships to do some couples work.
If this has been helpful press accept