Take your time but I think you must have that conversation with your D. There is people around doing insane gossip. The love bonding that you have with your D is forever. Take that into account.
I was a WH. I´m not proud of it. Not at all. I lived my life looking for acceptance. I didn´t knew this at that time. After I did what I did and came back I did some introspective work on myself, with professional help... I´m not strong now to tell my story now but I discovered that my father was not my real father and all my family plotted together to get those facts hidden from me. I´m not judging them and I assume it was their way to protect me for being abandoned. Even my mother denied those facts when I asked for the truth. Well let me tell you that inside me I KNEW that my father was not my real father. Don´t know why but I knew it since I was a little child. I havent met my real dad and I´m struggling with those items now...The father who did raise me died 25 years ago, when I was 23. I consider he was my real father but he had a difficult character. We did not had that son-father bonding that I have now with my own S. I always wonder what was wrong in our relation...If I knew he was not my father things would have been some different. I know I loved him in my way and he loved me his way.
Talk D with the truth. Get free of that gossip. Her love to you is not going to change.