NO ONE was calling it 'the Trump vaccine.' No one. No one on the left was polarizing response to Covid other than complaining that the current government was downplaying the severity. Even when it was apparent to the entire planet that this was a serious pandemic the right was pretending nothing was wrong. Then it was not really a problem because the first places it hit were large urban centers (aka Democratic-voting areas) so maybe this wasn't so bad after all and we can just wait for 'herd immunity' was the claim of the Trump crowd.
You have a serious problem with reality and the truth if you think that people on the left waited until after the election to start pushing for a vaccine and for trying to take active steps to contain and control Covid spread.