During the press conference it was also repeated multiple times that it wasn’t yet ready and they were only taking about getting it into the research phase, specially getting the FDA to fast track it as a possible treatment for COVID-19 so it can be studied in the US.
Dr Fauci spoke right after Trump first brought up the drug and confirmed it’s something not yet proven as a treatment, except some early studies in France, but something that should be looked into. Trump brought it up a few minutes later, again in the context of the FDA approving it for study.
Regardless, I’m sure it made a lot of doctors and pharmacists cringe hearing any drug brought up. I saw a lot of people afterwards saying Trump was recommending it as a treatment without any context, so in a politically charged sound-bite era there will always be the risk of it being misinterpreted... or people willfully ignoring the context and Guinea-pigging themselves.
One good thing is that it already requires a doctors prescription to buy (same with Canada).