Reports last year indicated Trump’s own FDA was responsible for setting out the needed time for data gathering and review that pushed it into mid-November. https://abcnews.go.com/Politics/white-house-okays-fda-months...
Meanwhile other countries including China and Russia didn’t approve their own vaccines faster, seeming to indicate the timeline had little to do with U.S. politics.
https://www.nbcnews.com/news/world/putin-claims-first-corona...
https://www.reuters.com/article/us-health-coronavirus-china-...
The first two phases involved just a few dozen volunteers.
Phase 3 trials will be conducted not only in Russia but in partner countries including the United Arab Emirates and Saudi Arabia, Dmitriev said in Tuesday's statement.”
According to https://en.wikipedia.org/wiki/Sputnik_V_COVID-19_vaccine#Aut... the first authorizations outside Russia occurred in December 2020.
Similarly for the Chinese vaccine it took time for the trial results to arrive. Sinovac was approved for general use in February 2021, months after the FDA had authorized Moderna and Pfizer vaccines. https://www.scmp.com/news/china/science/article/3120855/covi...