What makes you think intimate examinations are excluded? That's not what it says. I'm going to quote a few paragraphs here and perhaps you can explain why you believe this.
This provision allows for patients to request a
healthcare, community mental health or care worker to
have a particular protected characteristic in situations
wherein this is necessary to deliver reasonable
standards of care. Examples of this could be genital
examinations or provision of intimate care, where a
patient may request a staff member of the same sex.
A patient can also request a staff member with
or without a particular protected characteristic to
mitigate potential psychological impact. An example
of this could be a woman requesting a female
therapist as she has been the target of sexual violence
from a man.
A patient cannot request a different member of staff
where there is no clear clinical benefit.
For employment purposes, guidance from the British
Medical Association supports the view that a trans
person’s assigned sex at birth is irrelevant to their
working life. For this reason, they conclude that a
patient has no right to be told a healthcare worker’s
assigned sex at birth.
When a patient requests an employee to be a woman
or a man, the needs and safety of both staff and
patient should be considered. If a trans woman or
trans man is assigned to provide care, they should be
made aware of the patient’s request, and given the
choice of whether they feel comfortable treating or
caring for the patient.
So a patient can only request a same sex doctor or nurse if it is for 'intimate care', which I think we have established is any situation where the HCP may come into physical contact with the patient (so most hospital situations). But they can't request a different HCP "where there is no clear clinical benefit". (This seems to contradict what others have said on this thread.)
But at the same time, the BMA says that "a patient has no right to be told a healthcare worker’s assigned sex at birth." How can they have the right to request a same sex HCP if they don't have the right to be told their sex?
And then, if a female patient has requested care from a woman (in a situation in which they are allowed to request someone of the same sex), they may be assigned a transwoman, who will be given the choice of whether they will be 'comfortable' with this, but the patient will be given no such choice (and is not even allowed to be told the sex of the person treating them).
Have you bothered to read this @User613? Because it makes no sense, and it certainly doesn't say what you say it does.