Gender does not appear to influence trust of science. Two Australian studies, Critchley and Turney (2004) and Yates and Chandler (2000) found that anti-scientific and anti-intellectual beliefs were unrelated to gender.
"scientific practise is a social activity, subject to the biases and prejudices of the scientists. In contrast, the scientific methods of gathering empirical data to refute hypotheses, and using statistical methods to determine statistical significance, are perfectly sound." -- Restructure
As discussed Thursday, claims that the scientific community is sexist are not baseless. However, my feeling is that, as Cordelia Fine suggests, the problem is not with science, but with the ways the science is presented.