Yes, I too have a magic Y chromasome that makes me immune to someone leaping out at me and whacking me in the head with a steelbar if my assailant is female. Or immediately able to stand there and laugh if someone heel-palms me upwards in the nose which iirc she does to someone else shortly after.
Less sarcastic answer: No, it is not woke because Woke isn't about promoting "minorities" it's about knocking down existing heroes and cultural norms. That's why despite it being entirely possible to create new works with original heroes and heroines, what they really want is to make existing ones non-White or non-Straight. You can make as many female-led spy-action films like Salt or Atomic Blonde as you want, they're still going to want Bond to be female because it's about taking away from you. Does T2 do this? No it does not. It creates an admirable and relatable heroine who trains hard to become what she is (we see this) and when she fights comes from a place of aggression and skill, not WWF wrestling.
The holy trinity of 80's female badasses (Sarah Connor, Ellen Ripley and Billy's mom from Gremlins - like seriously, she fucking
blends one of them) all have one thing in common. They're not knocking down normal regular masculinity.
I've said this before but the gold standard example is Ripley in Aliens 2 when she goes to Apone and Hicks and says she feels like a third wheel and asks if there's anything she can do.
How do they respond? Apone challenges her exactly the same way he would a guy, he says: "I don't know - is there anything you can do?" Ripley pauses for a second, thrown off, then says "well I can drive that loader" and demonstrates that she can. What's important here? It's that normal male bonding and interaction isn't shown to be wrong and that she rises to it. Admirably in fact. That's why both men and women like the character. She accepts she has to prove herself and does so realistically and with humour.
In a modern Hollywood movie, that same scene would play out with the two men dismissing her and then being humiliated by how much better she is at driving a loader than they are thus proving that male modes of interaction (challenge and prove your status) are to be condemned compared to immediate acceptance and not doubting women.
So no, T2 is not work. More contraversially, neither is T3 because whilst the theme of moving on from brute force (T800 murdering people on camera and all night long) to cunning and more nuanced hunting (T-X hacking into databases, subtle infiltration) utilises Arnie as a hypermasculine incarnation of the former and an attractive blonde woman as the incarnation of the latter, it's not really about male vs. female and doesn't exactly knock down maleness per se. John Connor is a fuck-up by that point but the female character doesn't humiliate him, she gives him a path forward and by the end of the movie he's had a redemption arc and the two are working together.
Later Terminator movies - filled with denigration of the importance of motherhood, pro-immigration motifs and all the rest. They're woke. Not T2. And especially not just because a woman can hurt a dude. You're welcome to have a trained female fighter take some open shots at you if you doubt it.
2)After escaping the loony bin, Sarah Connor secretly sets out to kill Miles Dyson. I'm not gonna mention how it's unfeminine of her, cause I've already covered it in the previous point, but she confronts him saying the following:
Which is clearly another feminist message, except this time it's demonizing men.
This is actually counter-Woke. It's certainly not modern 3rd Wave feminism which we get today. Her message is about the importance of motherhood. Contrast that with the definitely Woke
Terminator: Dark Fate in which it's about explicit as you can get that the illegal immigrant woman the terminator is after isn't being pursued because she's
merely the mother of someone, but is herself the badass resistance leader. That movie is almost the exact antithesis of T1 and T2 and it is very Woke in its dismissal of Sarah Connor's importance due to being a mother.