Sex differences in response to food deprivation
There are very few studies about the gender-based differences in response to food deprivation in humans (or at least I didn't find many such reports).

In one of the papers, Sodersten et al conducted a research on 30 (17 women and 13 men) high school-aged subjects. After a short-term fast (skipping 2 successive meals), males consumed much more food while women actually ate less, when compared with their respective baseline quantity of meal. They suggested an inherent difficulty for women to compensate a period of fasting by increasing their food intake. They, thus, concluded that fasting might be more risky for women than men as this may start them down a self-sustaining pattern of reduced calorie intake. You can see the reference from Yamada's Textbook of Gastroenterology.

In another study, Soeters et al, 2007 showed that after a period of fasting for 38 hours, women had low plasma glucose levels than men, although they have higher amount of free fatty acids in plasma. They suggest that women are somehow protected from free fatty acid-induced insulin resistance, probably because they prevent myocellular accumulation of ceramide.

A yet another study, by Wu et al, 2011, touches upon the point that the relation between kilojoules consumed and kilojoules utilized is different in men and women. They also state that women consume less kilojoules per kilogram lean mass and store more fats in their body, especially during gestation period, as compared to men (I'm obviously not comparing the gestation period). This finding can, in a way, support the observations by Sodersten et al (see first paragraph).

If you want a more detailed report, you can have a look at this report from United Nations University (old website) by Sara R. Millman and Laurie F. DeRose. They discuss in detail why and how women and children are considered the vulnerable groups in times of long-term food deprivation since they are more likely to express hunger and have more serious probable consequences of hunger in times of food scarcity.

If you can expand your terms a little bit, there are (comparatively) many such studies on rats and other animals. For example, Sarookhani et al, 2014 measure the effects of food deprivation on formalin-induced nociceptive behaviors and $\beta$-endorphin and testosterone concentration in rats. You can find many such studies quite easily. However, I'll keep searching and adding more related studies on humans here.