What are some examples of the biological implications and risk factors? As far as I can tell the only one I can think of (and the only one my doctors told me to disclose) is that I have a prostate, but risks of prostate cancer are very low when estrogen dominant.
Either way, assigned sex is often arbitrary and a can be a poor indicator of the medical situation, e.g. 20% of intersex individuals are trans and may or may not have typical anatomy of their assigned sex. So communicating you're a trans woman gets misunderstood as "I'm male", which is not the correct conclusion.
I should also state I obviously disclose my trans status to doctors who are providing care like HRT, or who need to know for other reasons (e.g. a gyno who would perform a prostate exam through the vaginal canal).
But my question is for contexts where it's not appropriate or necessary to disclose trans status, such as walk-in clinics or ER visits.
I assume you are cis from your comment, but you should know it's not just the prejudice and mistreatment that motivates not disclosing trans status (whether overt bigotry, or other forms of discrimination like "trans broken arm syndrome"). When you tell someone you are trans, it immediately undoes your gender in their eyes. It can feel dehumanizing, and it also comes with a lot of bad assumptions (e.g. that biologically I'm not different from other men, but also that I must be like a man in other ways, too).
For that reason I find it's actually better to just disclose necessary information without framing it as being transgender - I disclosed that I was born without a uterus, and I disclosed the hormones I take and in what amounts, etc. which is what they need to know.
EDIT: I should mention, I've responded to a similar comment in the past, I'll throw that inline here for convenience:
click here to expand my prior response
No worries!! It's true that sometimes there are medically relevant differences, though I don't think anything was relevant in this instance. Also, my trans status is was in their medical file, and they saw I was on estrogen and could have read that I have gender dysphoria and have medically transitioned. I just think the ER staff didn't read my file closely, and operated on the assumption I was cis. If I thought being trans could be relevant, I would certainly disclose that, though.
Separately, you should know trans women tend to have brains that function more like cis women's brains (and become even more like cis women's brains once on estrogen), so the way drugs interact with my brain would probably be more like a woman's brain would react than a cis man's brain, for example.
It's a similar story with my body - assuming I'm 100% biologically male is the wrong take-away, my body is hormonally female for example. A lot of sex differences are mediated through sex hormone levels (and resultant body composition differences) - but in both of those cases I'm more like cis women than cis men. And this matches my experiences, drugs absolutely absorb, metabolize, and feel different since I have medically transitioned.
Also, my body was different from a cis man's from birth in other ways, for example I did not go through typical male puberty and I couldn't grow a beard until my mid 20s. My guess is that I might have mild androgen insensitivity syndrome, which is a common genetic condition in trans women.
Obvious other differences between the sexes with regards to drugs is more about concerns about possibly impacting a fetus in women (hence the unnecessary pregnancy questions in my case), and differences in weight / stature and thus dose. But they were able to get relevant information to make the right decisions (they didn't give me anything but a single dose of toradol).
Disclosing I am trans in medical contexts is mostly relevant for screening prostate cancer (which is at a much lower risk in trans women on estrogen, not only is estrogen actually a treatment for prostate cancer but male levels of testosterone, one of the reasons prostate cancers develop, are absent), and there is not much else relevant to providers. (That's actually the only time my doctors indicated I need to disclose that I'm trans, to ensure I get prostate screenings.)
All that said, if you have some information about other instances where those differences matter or situations you think it would be really important to disclose that I am trans, I'm all ears!
EDIT2: another way trans status might impact health is for directing them for certain kinds of care that impact the community, such as testing for HIV, connecting with drug abuse resources, etc. - but that's rather generic and less of the kind of "biological implications" you mentioned, but it's an angle I hadn't thought of before (if we were thinking about policy choices this would be something to consider, but in terms of what I as a trans woman should do, it feels less relevant).