Try to find a middleground: A conference room with a glass front and leave an open door. That way, people on the hallway could overhere, but mostly don't. The quit spot in the canteen mentioned is good. If one of you smokes you could stand in the smoker area, a few meter separate from all other smokers.
Generally, somewhere where you can have some amount of privacy, but where it is still open enough that anything out of the ordinary regarding man&woman would be easily spotted.
She comes from a different culture, getting used to yours will take a while. So for a while, her and you culture will be at odds. Talk to her and explain your goals to her: Open conversation, so you as a manager know what's up and can do something about it. Secret enough, so she needs not fear others acting on it. Good 1:1 meetings ultimately serve the subordinates, which isn't obvious if never had that. Then ask which middlegrounds she can think of and would accept. Make it clear that you are willing to accomodate her, but you also expect her to adapt to the company culture.