A.,
My daughter went through that stage at the exact same time period as your daughter! She would yell "Dada" so excitedly when he would come home from work, but then wanted nothing to do with him. She would scream when he tried to take her upstairs away from me to change her diaper, give her a bath, anything. I felt so bad for my husband, and I know it kind of hurt his feelings too. We just stuck to what we normally did--with kind words from mommy first(Daddy loves Jocelyn so much too)--we didn't give in to the crying. (Daddy still gave her a bath, etc.) and the phase did pass after a few weeks.
Tell your husband to hang in there and try not to take it personally. My daughter's stage also coincided with strager anxiety, but it seemed to be directed toward men. In your daughter's situation, she is probably around mostly female caregivers--you and in daycare--so, tell your husband to keep that in mind. I know it is so hard for him, especially because he loves her so much...but it will pass!
Good luck!