Shattering the myth of men as hunters and women as gatherers
The team found that regardless of their maternal status, women hunt in 79 percent of the societies they studied. Over 70 percent of female hunting also appears to be intentional, instead of opportunistic killing of animals encountered while doing other activities. Women’s intentional hunting appears to target game of all sizes, but was most often large game
Really, anything else wouldn't make sense. Rigid division of labour only came about with an available and storeable surplus, before that, any society that enforced strict gender roles related to this would have been at a disadvantage.