Clinton will campaign later in the day in Harrisburg.
Clinton also attacked Trump's disparaging remarks about the weight a Miss Universe gained in the year after she won the beauty pageant that Trump once owned, and he continued to mock Alicia Machado in Twitter comments he posted in the days after the debate.
Brzezinski argued that Trump was smart to embrace his avoidance of paying federal income taxes, and criticized the former secretary of state's defensive posture over her use of a private email server and decision to accept speaking fees for private speeches to financial institutions.
Clinton called Trump "the poster boy for the same rigged system he would make even worse", claiming he failed to pay taxes for years and is now proposing tax cuts that would help the wealthy even more.
Trump at a campaign stop in Colorado on Monday said he "brilliantly" and "legally" used tax laws to benefit himself and his business interests. More now see her as having the right temperament (59%) and being prepared to be president (63%) than at any time during the campaign. "Thanks for winning the debate", Clinton said with a huge smile on her face. "And I must tell you, I hate the way they spend our tax dollars".
Seventy-eight percent of registered Democrats backed Clinton, while 71 percent of registered Republicans supported Trump.
Hillary Clinton is campaigning in the Philadelphia suburbs on Tuesday with daughter Chelsea Clinton and actress Elizabeth Banks at an event aimed at making the case to female voters. And although the reasons for their defection vary, most cite Trump's abysmal record with women as a reason they're voting for Clinton instead.
"My opponent has taken this concern to a whole new level of difficulty and meanness", Clinton replied. "I wish that people really understood that stronger together, that putting families and children first, isn't rhetorical for my mom", she said.
During the question and answer portion, she was also asked about both gun violence and racial tensions, two issues Clinton has focused on in recent weeks following the deaths of African-American men in police shootings.