This will be long per usual from me, but hear me out everyone, and tell me if this doesn't make sense to do.
Before what I'm going to suggest let me just say this first...I saw it too. Fucking BS, that she is nominated solely bcuz of skin pigment, and gender excluding people that may be (likely are more qualified, and definitely more sane based on what I've seen so far) Other judges should file and Equal Opportunity case against the administration to stop this nomination.
And now to my suggestion....
They should have followed up with "What time did you wake up to get here in time today?" She answers "my clock" They ask her so you looked at your clock after your alarm went off or at some point to see what time it was?" She answers "yes". They then answer "So you tell time by your clock, not by your watch then?" She answers anything "yes", "today I did", "I looked at my watch later to make sure I was still on time", etc and she is fucked by two simple questions "Ms. Jackson so from your answers, I can see that you understand the differences between a clock and a watch are then right?" She has already walked herself into having to say yes. Once she does they should have or still can do all this......ask her, "Ms. Jackson, are you a watchmaker or clocksmith?" "I'm sorry did we hear you right? You're answer was no, is that correct?" "Yes (thinking, oh shit I'm fucked)" . "So Ms. Jackson you are a woman who can't define what a woman is according to your testimony, because you are not a bioligist, BUT you are not a watchmaker or clocksmith and yet somehow you know the difference between the two.....can you please explain to us all how you are qualified to know what each of those are while not being an expert, and yet don't know what a woman is simply because you don't know simple biology?" "UMMMMMMMMM.....ahhhhhh.. ..can I just go home now?" "Yes, Ms. Jackson. You sure can." 
Another simple thing they could do, is simply flip this whole racial thing back on her and Biden. "Joe Biden has said he was going to nominate the first black woman to the supreme court? You have referred to yourself as being black, and have not declined his nomination on the grounds that you're not a woman, so did President Biden make a mistake assuming you are a woman or that you are a black woman?" Her progressiveness is overtaken by being offended, and she harps back "NO, HE DID NOT MAKE A MISTAKE" "Well how do you know you are a black woman then if you're not a biologist?"
Does she have a husband? I'm sure it's in her bio, but if she does simply ask "Is your husband a man or a woman?" Any answer other than man will be absurd.
This is so simple, and most of these Senators are lawyers themselves and have teams of them on their staff,.....but this is the Republicans problem...........they are pussies, and too afraid to call bullshit in a common sense fashion so as not to seem racist/misogynistic. WHO THE FUCK CARES? THEY ARE SAYING IT ALREADY!!!
Post was TL;DR.
Just kidding.

On a serious note - any of the attacks on Western Civilization fall apart under the tiniest bit of scrutiny.
I'd like to ask any of the anti-Whites promoting diversity a similar line of questioning?
Matt: Do you think racial diversity is a strength?
Anti-White: Yes, I do.
Matt: What's wrong with Western Civilization as it is now? Too many White people?
Anti-White: No, no. Not that.
Matt: Then what's wrong with it?
Anti-White: It just needs more diversity.
Matt: Meaning what, fewer White people?
Anti-White: No, no, not that.
Matt: But you want more non-White people?
Anti-White: Yes.
Matt: Wouldn't that mean White people, as a percentage of the population, would be lower? So you want a society where the number of White people as a percentage of the population is lower?
...
Keep scrutinizing their views until they are FORCED to admit that they just want fewer [to none/zero] White people.
If you asked me directly if I hated Black or Indigenous people, I'd say no.
Because I don't.
But if you asked me if Black or Indigenous people have higher rates of theft or violent crime per-capita, I'd say yes.
You can call me racist if you want, but all I'm doing is stating a fact.
Funny how the POS anti-Whites can state that White men commit more crime or "racism", etc, with that being a LIE, and that's fine. But when I make the SAME sort of statement about Black people [that they have higher crime rates], and back if by FACTS, and say it in an explicitly factual/neutral way, somehow that's wrong.
If I'm going to be bombarded with anti-White propaganda, and told diversity is a good thing, WHY SHOULDN'T I POINT OUT FACTS ABOUT HOW DYSTOPIAN ACTUAL DIVERSE SHIT-HOLES LIKE CALIFORNIA REALLY ARE??
So the people promoting this bullshit don't expect ANYONE to refute it? White people are supposed to sit idly by and go quietly into the night, and those doing it don't think they're going to eventually be identified by group, and held accountable for this?
Lol.
I'm curious, but is the point of all this gender bender nonsense just to spread confusion? To make us question reality? Just to poison the well [typical behaviour] so that people don't know what to stand for?
Every single year, people say "I wouldn't tolerate if the left pushes it farther"...and low and behold, they push it farther!