Now you need to return to the original question about personal food choices and diet.
Here is a chart that tells us something about the different eating habits of men and women in Canada (note that this is Canada-wide evidence), for one year. 
Read the title carefully. Women are more likely in every age group to eat FEWER than the recommended servings of fruits and vegetables. Why would this be?
Here is another interesting piece of evidence. Consumption of fruits and vegetables shows a diminishing trend with lower incomes. Is this the same for women and for men? Which women? Which men?
Finally, you locate some new research about food security which may help to understand the “why” a bit better. For example, read the quotes below:
“When we are talking about weight…it is so individualized. Like my weight might not be good for your weight. You know, so it is very individual and that’s what people don’t [often] get.”
“….you know, a lot of sedentary thin people, people who don’t do any activity at all just kind of have a high metabolism, they are at more risk for heart disease and all of these other diseases…like diabetes and whatever…than the person who may be overweight, who’s BMI may be too high, and their cardiovascular system is in shape. There was a 300 pound man in the U.S. doing a marathon and he did it. So …that perception that thin people are in shape is not the case.”
“Our grandmothers were not always there saying watch your body weight… you can’t eat that… you can’t eat this… it was always like … make sure you have enough food to eat.” 
Do these quotes fit the situation you have and the task of understanding how eating habits may relate to obesity?
Do they give you some idea of where else to find evidence about why women and men can or cannot change their nutrition and eating behaviour?
Sources:  Charts: Overview of Canadians’ Eating Habits;  Quotes: Iskwĕwak Mīwayawak, Women Feeling Healthy, Multiple Exposures: An Environmental Scan of Miwayawin Health Services, regarding healthy body weight and body image, 25 January 2008, University of Saskatchewan, (no author listed)