I am not at all saying that transpeople should not have human rights. I am simply saying, to the point of tedium, that those rights should not trample on the rights of women who would prefer not to be intimately touched by a man (as defined as 'someone with a penis') for whatever reason she chooses.
You responded to this by saying that anyone has a right to refuse to be examined, which is disingenuous to say the least, as (leaving aside considerations of language barriers, lack of confidence, fear and/or PTSD and other things), one can only object if one is aware that the person doing the examining has a penis, and it is unlikely that this will be made obvious.
You then said that if the woman could not tell that the examiner had a penis then it wouldn't matter, which I found shockingly insensitive and abusive.
I used the burger analogy not because of any obsession, but to highlight the ethical problems inherent in this lack of respect for the right of women with views, religious observations or circumstances that differ from yours - 'it doesn't matter if they can't tell the difference'. It really does, in the same way that it really mattered to me that my children did not eat meat, as they were raised during the BSE years and I wanted to protect them from that risk.
Regardless of whether you consider my attitude to be reasonable, it is not for you to make that call based on your own views and simply ride roughshod over mine, in the same way as it is not for you or anyone else to decide that 'it doesn't matter' if a woman with religious or other objections is intimately examined by someone she erroneously believes to be female but is, in fact, biologically male.
I think that this is a fairly simple analogy, and that it is clear that it is not about a 'food element', but a metaphor for imposing one set of values on another by deceit.
Sorry, but I can't follow your argument about picking out the vegetables, but I suspect that it is not relevant to the point I was making.