There is no Trump vaccine. There are two vaccines approved by several nations with differing Health Organizations.
There are, however, a tiny handful of vaccines approved for use in the USA during the Trump administration.
I'm no antivaxxer. Modern medicine, including vaccinations, have revolutionised the human situation in the last century or so. It's the Trump administration, packing the Federal agencies with people more loyal than competent, that gives me pause. I'm not afraid of C19. I'm pretty sure I already got it. I'm careful about basics, like masks and sanitizer and distancing. I took care of my mother-in-law through a really bad week, after which she tested positive. I had a couple of bad days, then tested negative. My partner tested negative twice. I'm pretty sure we've been through it and all survived, handily.
I don't consider a vaccine, raced through testing by politicians like Trump, a good risk to me. Maybe later. In the meantime, I'll leave the vaccines(which are in short supply) for people who have a different risk assessment for themselves. Teachers, doctors, first responders, whatever, they can better get their choice if I forego a vaccine.
Tom