I agree with most of what you said, but I think using male and female as adjectives is far better than the clunk. Additionally it can help break the whole people thinking of a trans woman as a “male woman” bs. (I have a whole rant about how the “sex and gender are different” thing is often used to ignore the biological realities of the effects of medical transition).

But for the most part it’s smoother to say and can make the fact that you need to mention that you’re speaking about a woman less of a big deal. For example “My cousin, who is a woman, has been having a particularly difficult time finding a girlfriend in her rural town.” Compared to “My employee, a female engineer, is particularly diligent about making sure our products are comfortable for people of a variety of body sizes”