The advice that I would offer is that when she asked you if you were mad at her you could have truthfully said "I seem preoccupied because I am mad at myself because I feel like there are important issues that I need to discuss with you but I fear your reaction.". In a way this would be more "true" than simply saying "Yes, I am mad at you.".
"Tell me, what is it you plan to do with your one wild and precious life?" - Mary Oliver
