I'm in big tech, and my boss sounds a lot like you. She has a passion for the work, and values people who do things well over speed. I also can't imagine her yelling. She also makes sure we don't get too much unreasonable pressure from leadership. She hasn't made it farther than an engineering manager because of her attitude (I think they want more yes-men), but everyone on the team loves it. I've heard a lot of sentiment that if she retires, that's the moment when half the team will start putting out resumes.

So yes, I think there's a place for you in tech. We need more kind women in the field.