Excellent!
where does the Fed get the dollars? (a) the Chinese or
Wrong. The Treasury gets money from the Chinese and other buyers of Treasury securities. The Fed does not.
or(b) print them by asking the Treasury for some.
The Fed does not ask the Treasury for dollars. The Fed does not print dollars by asking the Treasury. They can print more with no input or permission from the Treasury.
Either way, it bails out the naughty and has no stimulus effect!
It does add new money to the system. New money is a stimulus.
You don't really have a degree in economics, do you?