The former Starbucks CEO vowed to form "a bipartisan, very diverse cabinet" that was "heavily weighted toward women" if he were elected in 2020.
Treasury Board President Jane Philpott resigned Monday, saying she could no longer support the government.
"If that were Ivanka Smith, the press would say, 'That was totally brilliant, we've never seen anything like that,'" Trump complained.
Trump "is committed to streamlining government for the 21st century," a White House spokesman said.
In a 47-page paper he wrote in 2000, he said profiling was a helpful policing tactic and that race-baiters got in the way of policing.
President Donald Trump isn't doing too hot either.
What was Trump's one-sided Twitter spat with the London mayor all about?
Some of Trump's cabinet choices weren't confirmed by the Senate until April.
Invoking an apartheid era law to escape accountability is a misguided move that will ask far more questions of the president than it avoids.
Trump's mental illness has become the elephant in the White House Situation Room.
Democrats on the Senate Judiciary Committee exploited Senate rules to delay until Wednesday a vote on Senator Jeff Sessions' nomination to be attorney general.
Economic emergencies and foreign affairs predicaments demand a faster handover.
Could ethical questions doom any of the president-elect's nominations?