I'll wade in: I don't have a big problem with the question. I don't necessarily agree with it, and I don't really understand what the point of asking a question like that is. But the question itself suffers more from clumsy execution than anything else.
Suppose I phrase it like this:
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A woman struggling with her sexuality comes to your clinic. She is experiencing tension between her deep religious values and her attraction to other women. What would be an appropriate course of action?"
A - ________
B - ________
C - Encourage her to discuss this issue with trusted friends, family members, or clergy
D - ________
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Anyone really have a problem with answer (c)? The problem with the question at LUCOM was that they referred to this as "direct to holiness" or whatever weirdo Protestant nonsense is vogue in that denomination. But I would argue that what they were getting at was an answer along the lines of, "Encourage the patient to discuss this with a trusted representative of their faith." And that is a perfectly acceptable answer.
And before everyone jumps in further with, "No! You have to tell her it's fine to be gay!" recognize that that course of action would be wrong and unprofessional. While it is trendy these days to encourage people to abandon a lifetime of religious faith and values anytime it conflicts with the latest issue of Cosmo, that sentiment from a doctor is inappropriate. It shows a profound lack of understanding about the various things beyond sexuality that go into a person's identity. If you tell this type of patient that they should dismiss their faith and pursue their sexuality, it is very possible you will ruin the patient-physician relationship. Even if they ultimately come to the same conclusion, there is a grieving process that goes along with the loss of a lifelong faith, and a doctor's casual dismissal of that religion will not endear you to the patient, even if you are right.
These kind of issues are not uncommon, and the best possible outcome is for people to work through it themselves, with the physician serving as support, and not a director of action.
Just my 0.02.