Men and women are biologically different. It's not going to make me not accept trans women though.
Accept them as what?
You've literally just said it.
The unsayable thing, the thing that you chide others for saying.
You correctly noted that the two sexes are distinguished from each other by their biological differences. Physical, reproductive, anatomical differences. Not by empty declarations, or strong feelings, or unsubstantiated identities, or personality types. You can't divide the human race into two different sex categories that way, it's a lie.
We differ, the sexes, as you conceded, by our bodies. By the lives those bodies carry us through, the functions those bodies perform, the abilities those bodies possess, and by the way the world treats us from the second we are born in one or the other of those two types of distinguishable bodies. Female body, male body. Girl, boy. Woman, man.
Bodies. Nothing else.
Men have one type of biological anatomy. Women the other. 'Men' and 'women' are words that are placeholders for the sexed anatomy of our human bodies. Valuable, clear, meaningful words.
Your body determines your sex.
Those words, those references to our bodies, are of immense importance. If you mix them up, people suffer, and even die. If you drain them of meaning, people suffer, and even die. If you try to redefine them into something untrue, into a type of personality, people suffer, even die. If you lie about them, distort them, to appease people, other people suffer, even die.
Leave the words woman and man intact. We need those words to be unequivocally clear, so that when we use them, there is perfect clarity about who and what we are referring to, and people do not suffer as a consequence.
There are a million words that can be used for men who want their feelings, choices, desires and identities acknowledged as a communal group, and as long as every member of that group has a mutual understanding of why they are grouped, how they are similar, and is in agreement and happily consents? Let them choose any one of a million virginal words to become their own label, with its own undisputed meaning.
But there is no way that they can corrupt the meaning of the words that exclusively reference the bodies of the opposite sex. Those female words will not be altered, distorted, made useless. They are of ultimate value to women. Men must choose another word, and it can describe them perfectly, and it will not be at the cost of women.
I accept the people who name themselves 'transwomen' too - I accept them as members of the opposite sex to me, as males, and yes, I accept them as men just as I accept all men as men.
That what acceptance really means. I see you as you are, and I will not lie to you.