What is a woman? Anybody who identifies as a woman. Well, I respectfully disagree. Along with, following the science. The argument seems to have a lot of opinions these days. Here is mine. Please note, that I am not a medical practitioner or scientist. It is a personal opinion based on what I have read.
I also consider the human race has always had identity issues. The oldest identity issues would be perhaps delusions of grandeur. From people who consider themselves living Gods along with false prophets, false messiahs, con men, charlatans, or people who say an orange is an apple. As with everything, along with an acceptance of that type of list. A biological basis of personality would mean different things to different people.
Here is the wiki link for the biological basis of personality: https://en.wikipedia.org/wiki/Biological_basis_of_personality
What is a woman? I think it is a question of health and normality. What is normal and along with science? I consider it to be, a biological female. In some medical terms, you are talking about a normal range. For example: Men, who are consistently breaking records in women's sports by identifying as a women, are outside the range of normal womanhood.
2 June 1975 - Health and Normality
When we say that a person is in good health, we mean that this person may indulge in physical and mental activities without distress, and is free from diseases that may threaten his or her well-being or life.1 Similarly, the orthodox medical definition of normal "denotes the absence of infection, disease, or malformation, or the absence of experimental, or therapeutic manipulations"
https://jamanetwork.com/journals/jama/article-abstract/336655
As With The Days Of Noah - A Woman Is A Genesis Ark
15 And I will put enmity between thee and the woman, and between thy seed and her seed; it shall bruise thy head, and thou shalt bruise his heel.
I am just at the start of this philosophy. I will share some other thoughts that are coming to mind. Furthermore, I can not say I am correct. It is just the passages I am considering at the moment.
What is a woman? The fading flower in Isaiah 28
28 Woe to the crown of pride, to the drunkards of Ephraim, whose glorious beauty is a fading flower, which are on the head of the fat valleys of them that are overcome with wine!
The scornful men who identify as women. Who make lies their refuge and under falsehood hid themselves.
Isaiah 28 : 14-18 KJV
14 Wherefore hear the word of the Lord, ye scornful men, that rule this people which is in Jerusalem.
15 Because ye have said, We have made a covenant with death, and with hell are we at agreement; when the overflowing scourge shall pass through, it shall not come unto us: for we have made lies our refuge, and under falsehood have we hid ourselves:
16 Therefore thus saith the Lord God, Behold, I lay in Zion for a foundation a stone, a tried stone, a precious corner stone, a sure foundation: he that believeth shall not make haste.
17 Judgment also will I lay to the line, and righteousness to the plummet: and the hail shall sweep away the refuge of lies, and the waters shall overflow the hiding place.
18 And your covenant with death shall be disannulled, and your agreement with hell shall not stand; when the overflowing scourge shall pass through, then ye shall be trodden down by it.