(CNN) -- Minnesota Rep. Michele Bachmann's newly official presidential bid drew fresh eyes Tuesday after complimentary reviews of her performance in a face-off with her Republican rivals.

Several CNN analysts declared her one of the winners of the CNN-sponsored New Hampshire GOP debate Monday night, while House Speaker John Boehner said the third-term congresswoman "did a really good job last night."

"I think she is a bright member of our caucus," Boehner told reporters. "It's one of the reasons why I appointed her to the Intelligence Committee."