In this context "listen to" means "take the advice of". The word "obey" is a little too strong.
2) The "intelligence officials" warned Trump about listening to Giuliani.
The implication is that the "intelligence officials" didn't think Trump should follow Giuliani's advice.
Trump Praises His 'S.S.' For Protest Crackdown; Critics Go ...
Jun 12, 2020 · President Donald Trump on Thursday hailed the brutal and controversial crackdown on protesters in Washington last week by law enforcement groups ― including the Secret Service, which he referred to as the “S.S.”
The phrase is "looking for a way off the SS Trump". This is very clearly a nautical reference (and a cliche that any American would get).