I think this is a good example of how unfounded our fears are. You said that this was what you dreaded, yet the actual event was a good thing. Your daughters responce was exactly what I have come to expect from people I tell about myself. The part about 'you are still you' was repeated to me from both my daughters, my brother, his two sons and their wives.
If anything, my experience with coming out has taught me how correct FDR was when he said “Only Thing We Have to Fear Is Fear Itself"