From 2008, they start with this:

Nevertheless, a mere 6% of respondents in this survey of 2,250 adults say that, overall, women make better political leaders than men. About one-in-five (21%) say men make the better leaders, while the vast majority — 69% — say men and women make equally good leaders.

Then go on to tell us what we should be wanting in a leader...you guessed it, a woman.

https://www.pewresearch.org/social-trends/2008/08/25/men-or-women-whos-the-better-leader/

And from 2020 when women do their own "research" to continue to try to convince us and themselves they are better than men we have this.

Who’s Seen as More Qualified to Lead in a Crisis?

Last year, we wrote about how women were rated better leaders by those who worked with them when compared with men. The data for our analysis was pulled from assessments of over 60,000 leaders (22,603 women and 40,187 men). We wanted to look at similar data gathered during the first phase of the Covid-19 crisis to see if these ratings had changed.

Between March and June of this year, 454 men and 366 women were assessed on their leadership effectiveness using our Extraordinary Leader 360-degree assessment. Consistent with our pre-pandemic analysis, we found that women were rated significantly more positively than men. Comparing the overall leadership effectiveness ratings of men versus women, once again women were rated as more effective leaders (t-Value 2.926, Sig. 0.004). The gap between men and women in the pandemic is even larger than previously measured, possibly indicating that women tend to perform better in a crisis.

https://hbr.org/2020/12/research-women-are-better-leaders-during-a-crisis