score:5
Gender wiki uses the term non-op for persons who identify as other than birth assignment gender but do not wish to transition.
Non-op refers to those who do not wish to have gender confirmation surgery. Some non-op may wish to socially transition and/or take hormones, while others may not wish to transition at all.
There can be a number of reasons why a non-op chooses not to transition at all.
When the reason for resisting a desire to transition is because of deeply held Christian beliefs it would be appropriate to say the person is non-op for faith based reasons.
I could find no single word terminology that expresses all of that.