Hello,
As a family medicine resident rotation through Ob/Gyn, in a post-modernist society, that also happens to have a significant percentage of Muslim women, this issue is currently quite relevant to me.
I think allowing a women to choose (nay, demand) her physician based on gender is blatantly discriminatory.
As has been previously mentioned, nudity / exposure is present in many areas of medicine (e.g. trauma surgery), and women are not offered the choice in those settings. It's difficult to partial out how much of this difference is due to practicality / emergent characteristics of the situation, but one different is probably because of specialty area culture. Obs/Gyn is a feminist environment. Nurses and physicians sometimes advocate for their patients so much that it comes across as hostility to the patient's family and/or anybody or anything vaguely male. There is a word for this - misandry.
If I am seeing a patient who is clearly apprehensive, and if a female provider is readily apparent, I have no problem with involving them (as a chaperone at the very least). But when we make the "option" of choosing provider characteristics too readily available, we run the risk of making patients "hang-ups" even worse. To use a poor analogy, we are enabling a socially awkward person's solitude, rather than gently encouraging them to attend more functions.
In one case, I've even had a woman who refused to let me TALK to her for 5 minutes (and in this case, the female Obs/Gyn consultant was running behind, and I would have been saving her time by getting 'housekeeping' tasks / demographics data gathering out of the way).
As a future family physician, I need a level of competence in a wide array of health conditions, for an equally wide array of patient populations: young / old, sick / well, male / female, and so on. Catering to a patient's personal preference today (by not seeing them) means less learning experience in a sheltered environment (residency) and greater chance of missing a diagnosis in the future. In other words, "being nice to women" now means not being able to take care of them as well in the future.
Even in the cases were there is prior sexual abuse, I fail to see the justification in insisting on a female provider. That's like saying that a black patient who was abused (or whose relatives / ancestors were abused) by white slavers is justified in refusing treatment by white health care workers.
Besides, when is the last time you've heard of a male being able to choose provider characteristics? It's a double standard.
In a medical system that is more free-market (like the US), I guess ANY preference can be accommodated. But in a socialized system (like Canada), where healthcare is "free" (well, paid for by taxes), you get what you get - period.
The problem with too much emphasis toward "empowering" a group of people is that you "disempower" others. There are only so many rights to go around. Giving women the right to only see female physicians removes the right of male residents from getting a proper educational experience. In the end, this leads to fewer and fewer family medicine physicians from having an obstetrics component to their practice. This means that more and more "routine / well women care" gets transferred over to Obs/Gyn specialists (some might not mind this, but others that I have met seem to feel underutilised when this occurs).
I realize that some of my view points might be considered offensive. If this is the case, I apologize - it is not my intent. The other side is argued so often and so strongly, that I guess I felt the need to "compensate."