And yet--no one here, includign myself answered the real question:
How is the friendship game played.
Easily--if this is your choice. You just become her friend, and friendship isn't a game, and you wait for the affair to burn out and offer the dating option when she is completely done.
It's your relationship. You know the level of emotional draw for the two of you, and you don't describe it on the board to any level of detail--so NO ONE CAN PREDICT whether it's better for you to date her or be her friend.
You always have more options than you think you do. One thing--whatever you do -- unless you are having an adverse interpersonal reaction give your plan, whatever you choose 2-3 weeks (and the holidays can take longer) before you change directions. In fact...staying on the course you have been on and giving it a little more time is not a bad idea.