I was always under the impression that "Dont date a coworker" only applied to those shitty situations where people were faking sick or lying about relative deaths to get a day off or just generally caught up in a McJob where everyone was always angry and never wanted to be there.
I've never seen any of this in the context of a higher tier, more career based environment. I don't get it. If you love your job, you show up on time, do what needs to be done and actually see something fruitful blossoming from the woman in question, what's the problem? Yeah if you jump in bed with the first chick who bat their eyes at you there's going to be drama that you don't want to bring to work, but I assume we're talking about mature adults here, yes? The OP doesn't strike me as someone who'd have a big problem with that.