I'm attempting to write a novel, an historical fiction with a small fantasy component (time travel through a portal). The travelers (main characters) are a young couple from the late 23rd Century who are (without preparation or intent) transported back to the late 14th Century. The setting is Venetian-ruled Croatia, though that has little to do with my question.
In my version of the late 23rd Century, at least in the part of the world where these two were raised, is what we might call "post woke"; the mentality of people in their time and area is one of equality, acceptance of differences, and egalitarianism. As such, the male half of the couple struggles with the notion that, in order to blend in to the 14th Century, he has to do things like hold doors for women. This is a simplistic description of what he goes through, but it should suffice here.
Which brings us to my struggles (as a male writer) with writing the female character from her own POV. She's a modern woman of the 23rd Century, albeit young (twenty years old). She can take care of herself, and eschews the idea of needing a man in her life to do much of anything for her save perhaps lifting large, heavy objects. She is, however, feminine, and I'm... not. So I don't have confidence that I can write a female protagonist who has agency without sounding like "a dude writing a chick".
So what tips do you have for writing properly feminine female characters who have agency? I'm particularly interested in hearing from women writers, though tips from anyone are appreciated.
I'm primarily concerned with her internal monologue. How does she think about the world she sees? This is most evident, of course, when she's thinking about how she feels about her counterpart, the male lead. But also her interactions with other characters, in particular other females, should be considered. I may be going overboard, but I really want to make this character "real".
Update: This makes me more than a bit nervous, but I've decided to include a link to my working document on Google Docs with comments enabled for anyone that wants to read what I've done so far. My goal is to get the base story laid down in the first draft (the main events, etc.), then go back and re-write for things that I'm asking about here. If you choose to comment, please make them constructive. Thank you to anyone who chooses to do so.
Second Update: That Google Docs link is dead. I published the book on Amazon, and it will go out to other publishers in a few days, including a print version. Details here. I got some good feedback here, and I think my character was made better for it. Thank you all.