Okay, I have a question that maybe will help a bit. Do you think in 2 years, it will matter whether you wished her HB or not?
I don't think so. It does matter. I was married before and my ex asked me for one thing and one thing only - never to forget her b-day.
And I have never forgotten. Even if it is just a text message, I have kept my promise and I will honor it as long as I live.
She cheated on me for whatever that is worth, but I strongly believe the friendly vs. friends concept. She is not my friend but I am friendly with her and BD greetings are the least of my burdens.