My point is one doesn't have to negate trans people's view of themselves to recognise sex and gender are different things. Indeed, one has to recognise that sex and gender are different things to accept trans people's view of themselves.
So, being different things, it's entirely reasonable and ok to treat them as different things. The only thing that is obscuring this, the only thing that makes it hard for you and other well-meaning people to navigate, is the deliberate decision by trans activists to appropriate the language we use for sex as the language we must use for gender.
You say you don't want to impose on others, but by accepting the definition of sex terminology for gender you are doing exactly that. You are falling into the trap of only thinking about one group and imposing their "solution" onto people who do not want it and find it demeaning and marginalising.
Thought experiment for you.
You are chatting to two people.
One is a TW who believes deeply and genuinely "she" and "woman" are the appropriate terminology for TW because something in their minds makes them women regardless of their bodies.
The other is me, who believes that women through history have been treated shittily because men took power and othered the female body, and that over time this has cumulatively built a society that, while it may pay lip service to female equality, through structural and social norms continues in practice to undervalue and disempower women, and that the idea that women's minds are "just different" is one of the core foundations of this.
This is not just intellectual disagreement - I find the idea that a man can decide for himself he is actually a "woman" because his mind is somehow "womanly" deeply, deeply offensive. It distresses emotionally because facing the degree to which society historically and still is stacked against women triggers feelings of helplessness and disempowerment.
To refer to a TW with female language and thereby put both me and the TW in a group of "the womanly minded" denies my beliefs includng my beliefs about my own self just as much as using male language does for the TW.
We are chatting happily. The topic of Nadia comes up. Which language do you choose, knowing that either way one of us will be hurt?