I cry a lot, still. Probably everyday. It does make us stronger. Feeling our emotions and giving them the room to be felt makes us stronger. Plus, you are showing your son that men can cry and feel things. That is so healthy for him.
I think it is quite positive that she responded to you. So she was still distant, that's okay. Babysteps. Babysteps. She answered you without getting angry for asking. Plus, she assumed you were asking out of concern for her ("I'll be okay, don't worry). She assumed you were showing her concern and she did not respond with anger. Good positive step.