No, that wouldn't work.
In a highly simplified sense, you can think of A blood as having A markers on the surfaces of the cells. B blood has B markers, and AB blood has both. Type O blood doesn't have these markers. The same is true of Rh+ and -. If you're +, you have the Rh marker, if you're - you don't.
Your immune system can see these markers, and if it detects a foreign one, it will attack the cell. This is what causes problems if you have a blood type mismatch in a transfusion.
The mother has type A+ blood. This means that her body is used to the type A and Rh markers, and won't attack. Since the daughter is O-, it means she doesn't have the markers - since her body isn't used to them, it will recognize the mother's blood as foreign and attack it.
You can flip it around, though. The daughter doesn't have the markers on her blood cells, so there is nothing for her mother's immune system to detect. You could transfuse the daughter's blood over to the mother without an immune reaction. This is why O- is the universal donor - anyone can receive Type O- blood, since there are no markers on the surfaces of the cells to trigger a reaction. The down side is that since their body isn't used to any markers being there, they can only receive type O- blood.
Type AB+ is the universal acceptor. They have all the markers on their cells, so their bodies are already used to whatever they might get in a transfusion. They can receive type O blood, since there are no markers on it to react to. They can receive type A blood, since they're already used to the A marker, and the same is true of B and AB. They can only donate their blood to other AB+ people, though (if AB were given to a type A person, then their body would react to the B marker, for example).
This is a gross oversimplification, and there are other markers on blood cells, but it illustrates the basic point.
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