I certainly agree that the medical establishment has been and remains one that reflects patriarchal values. For that matter, imho it is also institutionally racist, homophobic, disablist, ageist and classist.
I also agree that the adult, white, non-disabled, straight male is seen as the "industry standard," and that there is ample evidence clinical trials that have used such a narrow range of subjects have led to skewed results. That has meant that treatments for women, for people from not white ethnic backgrounds and even people of different ages have not always been the most appropriate for their physical circumstances.
I also agree that sexism within the disciplines of psychiatry and psychology have resulted in inappropriate, ineffectual and often counterproductive treatment and care for women (and for people of colour, working class people, disabled people, etc.)
However, there are certainly investigations and treatments that have benefited the health of women and I think there is a risk of throwing the baby out with the bathwater here. Just because the health care establishment is sexist doesn't mean that it is in women's interest to reject all things connected with health care.
Screening for most conditions (including cancer) is to varying degrees inconvenient, uncomfortable and potentially upsetting, regardless of the sex of the client. Definitely there are things health care practitioners can do to reduce the impact of all of these, but it may not be possible to eliminate them all together. I certainly don't think it's wise to reject screening or treatment just on the basis that it's provided by a medical establishment that's sexist and/or that they should be doing more to make it less painful or traumatic (and not using it until that happens.)
With any health care system, cost is going to be an issue, whether the state pays for it through taxes or the individual patients or their insurers pick up the tab. Low cost but effective screening and treatment regimes are likely to be more accessible to more people than expensive and exclusive ones. Again, that's the case regardless of who the clients are.
I'm certainly grateful that I now live in a country where screening for specific women's health and general health condition is available free at the point of delivery. I know not everyone has had such a positive experience as I have of accessing such care, but it's quite likely I would be very ill or even dead now had I not had such access.
I'm more fortunate than my friend in the US who was recently made redundant and with that, lost health insurance for her (in the middle of investigations for possible gynae related cancer) and her daughter (who has a chronic bowel condition,) and has no idea how she will pay for any further tests or treatment until she gets another job (and even then may be denied insurance due to "pre-existing conditions.")
Even more sobering is the millions of women around the world denied even the most basic health care, including reproductive health care. Something in me feels "not quite right" about not engaging with screening and treatment programmes freely available in the UK while other women in the world are literally suffering and dying for want of these.