I just wanted to commiserate with you. DS#1 lives with us part of the time. It definitely hinders "open" communication, read "letting it all out." It isn't easy, now that we have learned to be honest.
I just wanted to tell you that I feared what would happen if my two DSs found out that I stayed with a FWH. And mine is a F SA...my kids are wonderful, and I'll bet your DD would be, also. They were 21 and 25 initially, I told them only a little, but they know most of the story without the gory details. They are getting to know their dad, with his faults and all, and knowing each other as adult men.
I think it may be different with a girl. I sense that girls may feel more betrayed by a wayward father. IDK.
But hugs anyway. I think whether you choose to tell her at some point or not, you deserve to have her support, not AGAINST her father, but as a woman/friend, as your relationship evolves. At that time, maybe it will be time to tell her the story.