@Solomon101: I fully understand your position
@Sree: Thank you for your additional reply
@Savannah: Thank you for your reply
@Todd: I believe we are allowed to thus choose. I have no guarantee however that such request can always be granted at state owned hospitals for two reasons though (may be a different case in the USA and others): (1.) A Christless provider will likely take personal offense (especially once you give details behind your request and they know they deal with both genders even in extreme cases) as you shall thus be condemning them as well. (2.) If the hospital do not have a provider of the desired gender at the time. I never saved the link but read somewhere online that hospitals are not obligated to always ensure that there are healthcarers of both genders at all times. I thought this applied to all nations but again I understand that in the USA perhaps there is always sufficient supply even in state owned hospitals.
Because you do not pay the bill at a state/public hospital, the provider may, while thus condemned, abuse their powers in many ways. Including telling you that you had better forget to have such request honored - even if it may be possible to reshadule you for a day where a provider of your desired gender may be available (if indeed there is non at hand at the time). With a private center however, this is not easy as the patient's fees pay the provider's salary. So even if they may thus be offended, they may have little to no choice but to assist you as per your request I reckon.
I do not mean to make the thread longer than it may be necessary but I am aswell moved to believe that we may be nearly (if not equally responsible) to make any possible preparations against emergency cases where we can resonably help it. But yes we can only look at this (if possible) once we are confortable with non emergency cases.
One other thing to remember is that people still die even in the hands of the best physicians. This then meaning that thus compromising (if we conclude it to be) may not always help us recovery anyways. But still die and go to meet the same God who demanded the virtue at our sick stage. Making it wiser to rather seek to know God's position on the matter rather than allow to be biased by a wish to save our lives or good health.
Is it that I take death any day? Certainly not! The very thought of death experience (and it associated pain) has been dreadful to me long before I was thus diseased. Never mind the thought of having to leave my 3 sons (oldest is now 7 and the yongest approaching 1). For the death concern I have at sundry times continued to plead with God for a painless one if at all affordable. And for the sons'concern I have been suplicating for grace that would overtake them even in my absense (should the Lord ever judge it wise to thus call me earlier).
So brethren may already see how unready to die I must be (humanly speaking) - and how I would rather exhaust all valid help I could get. But I understand that I am not allowed to compromise at any stage - even if it should be unto death :( Hence my starting the thread here to try and understand if I am not drinking a bitter cup that was never at all necessary. Never that I am just indifferent because I am just ready to die. Nor that I find being ill any fun feeling (as all may already know there be no such).
By the way I called my local private center and full Cardiologist checkup fee is twice+ the price I had in mind (around half of my monthly income). Yet another reason why I would gladly go with a state (public) hospital if it were not for the concern at hand. Apologies for a long and perhaps not perperly edited reply.