I am not a typical Russian as am a medical practitioner.
However let's address what many do not understand.
Vaccine is not a typical drug. It will not grow you a new head if it is goes wrong.
A vaccine is the same virus that you want to fight against. The virus is taken, killed, the part that the human body uses to identify the virus removed and injected into a person. So that the person's body can learn to fight against the virus when the natural one gets to him. Occasionally this part can not be identified. So the virus as a whole is artificially weakened (Live vaccine) before injected. In other words, a very weakened infection is given. Just like when vaccines were first vaccine invented.
Edward Jenner a British doctor noticed that milkmaids never caught smallpox. He discovered that in their work with cows, they all caught Cowpox. A related but very weak relative of smallpox. He reasoned correctly that the bodies of the milkmaids found a way to fight cowpox, and used it to kill the smallpox virus when it entered their bodies.
He started infecting everyone with cowpox. Your first vaccine.
The reason I am explaining this is because the trials for vaccine is not about human safety. The worse they can do is either give the patient a mild form of the infection, or allergy to the transport medium. The tests are for effectiveness.
So what can happen if not well tested?
Every thing goes fine, herd immunity is achieved.
Or, There is only temporary immunity that is too short to achieve a herd immunity.
Or, nothing, does not produce any immunity in humans. very unlikely because a small trial would show if antibodies are been produced.
In both last examples, a lot of money wasted as well as giving a false sense of security.
Since Russians are amongst the most educated people in the world. Large number would know the above. Certainly there will be those that are scared. That is why, the elite are the first to take the vaccine, to assure to the rest of the public that it is safe.
There would also be conspiracy nuts talking about Bill Gates, Microchipping and the mark of the devil.
However in general, I do not think it would generate much fear.
I also do not think any vaccine would be fully tested, because we really do not have the time. We will do what we generally do in this cases at individual level.
If drug is unlikely to be harmful to the patient, but there is a chance of helping the patient, give it to him.
How else do you think an antimalarial like chloroquine was first given to a patient sick from a virus?