The correct answer to this open question is the following.
Yes, women in America favor stricter gun control laws in the United States. Indeed, most Americans are in favor that gun legislation could be more strict. According to a survey of adults in America in September 2019, conducted by Pew Research Center, 60% of Americans approve stricter legislation to control guns in the country.
Regarding gender, the same survey reveals that 64% of women support more strict laws on the subject of guns. In the case of men, 55% support better regulations.