Dr Forcier - If you think the question of whether a chicken cries or commits suicide is relevant to the question of whether only female chickens can lay eggs, then you have lost your mind. I'm not going deeper on this one.
Dr Bowers - We have a number of rules, laws and protections built around the idea that children aren't equipped to make serious long-term decisions for themselves. Getting a tattoo, drinking alcohol, having sex. All of these decisions are less impactful than a double mastectomy or taking hormones that could make you infertile.
To be clear, I'm not arguing that minors should never be offered medical transition (and I'm not arguing against it for adults at all), I'm saying that the assumption that a child who says "I'm a boy/girl" is always sure enough to make life-changing decisions is very clearly false and should therefore be treated with greater care than it currently is in some cases (for example, the story I linked to about a girl who received a double mastectomy five months after first questioning her gender. There are countless stories like it).
Dr Grzanka - You cannot use a word in the definition of that word. A table is not something that looks like a table. Or, to be precise, it is, but I hope it's obvious that is a meaningless definition. Certainly not one you'd expect from a "professor of tables" if there were such a thing.
The definition of "woman" is important in a number of ways, from medicine to law. "Woman" is a protected class that faces numerous health, societal and safety issues because of their membership of that class. So if you erase the meaning of the word, you also make it impossible to talk about those issues.