Meaning of the "hunt his/her own meat" idiom
Idiom is close... innuendo is more accurate
It would seem the reader is led to believe that "meat" refers to an object of sustenance rather than animal flesh as food. In this case the context suggests that the system being sustained is one of sexual reproduction rather than a full biological life cycle requiring food to eat.
as you will
It is not really an idiom. It refers directly to the fact that she actually hunts her local wild game such as deer, turkey, rabbit etc. (Based on the play "How to Transcend a Happy Marriage")