Who said anything about administering the vaccines before they are tested? Governments and philanthropists are pouring money into vaccine production to have doses ready immediately in case the tests go well. If the tests don't go well, they will not be administered.
You won't learn about long-term side effects in 6 months of testing.
The accelerated testing should still make them safe enough to administer to the risk groups where the risk of catching the virus is higher than the risk of the vaccine.
The #1 group who needs the vaccine more than anyone else is a group of young, extremely healthy, low-risk individuals. Paramedics, nurses, doctors. The "front-line" to the COVID19.
Even before the "at risk" population gets the vaccine, nurses and doctors (who will be treating the at-risk population) need to first be immunized... otherwise the nurses/doctors risk spreading the virus to the at-risk population.
Fauci was very careful to say that this isn't any decision he will make on the matter. But it is extremely likely that nurses / doctors will get the first dose of vaccines.