I think it could well have been a mistake to put the Basenji out of the house at all. OK, you needed time to adjust to the new human but now you have created a totally unnecessary problem.
I have often sold puppies to childless couples, only to find a baby came along soon. The Basenji was in each case, part of the welcoming comittee, and took instantly to the baby (Basenjis love babies !).
One yearling bitch even, to Mom's horror, pushed her way past Mom who was changing the baby on the bathroom floor, licked the baby clean and then tried to eat the soiled diaper. She was keeping the village clean, as it would have been her duty to do in a native village. Instinct, primordial reaction.
Then along came a second baby to that family and by the time the Basenji shuffled off this mortal coil, aged about 14 as I recall, the girls had had an excellent up-bringing from her and had never known life without a Basenji.
Bring the Basenji back home, make a great fuss of her, let her know something exciting is happening now she is back, and then bring the baby into the room, careful get down on the floor and let the Basenji sniff. Yes - @tanza has the right of it, take something smelling of baby to let Basenji have an idea in advance.
But don't delay. You need the Basenji's help to bring up your daughter !
Take care, of course, and don't leave them alone in a room, be vigilant, but I think you will be pleasantly surprised at how the Basenji takes to the baby. It will bring out all her maternal instincts.
Of course, a great deal will depend on your attitude. If you show nerves or hesitancy the Basenji will wonder why. This is all a perfectly natural happening - take it in your stride and the Basenji will too.