That is one of those things where I wonder what they were thinking? It's hard to believe no one considered the implication of Kirk, even in a female body, holding hands with Spock. I mean, they are still the same people, and Vulcans aren't really known for being physically demonstrative.
It is true that simple things like even two men holding hands is shocking and taboo in our culture even now. It's nice to think that it won't be the case in the future. With homophobia wiped out in the 23rd century it hopefully wouldn't matter to anyone if they did hold hands. It's not something we see thru any of the franchise that I remember though, casual male intimacy. For that matter, it's not like Spock went around holding Uhura's hand either. That kind of close physical contact isn't something you get with Spock.
holding both his hands

Personally, I hate this fanon thing that just because the vulcans are touch telepaths then they can't touch people without it having some second meaning.
If that was true, then you'd see them wearing gloves all the time...
I mean you understand why they might not like physical touch especially with strangers but he does touch people.
You do also have a scene where him and Kirk hold hands (a pretty iconic one too)
there are also some gestures that in 'the vulcan code' might have a cultural meaning, example the brothers hand gesture:
Of course, like in the example with femaleKirk, it's never random.
In that case I see him instinctively reaching for the girl in a male-protectiveness stereotype manner ("women needs to be protected by men"). You also see it in the way he reaches for Uhura or grabs her when he wants to help her. You don't see him doing that with his male friends. It's interesting to think that he perceives Kirk with that stereotype about women, so to speak, only because he has the body of a woman (and so he's being chivalrous)