As O-Chul pointed out, you can if that head is actually a burden to them.
Beyond that, the implication that the ettin stands in for RL misogynists and the associated "and that's terrible" is entirely being promoted by Huitzil, with some devils-advocating from unbeliever536 and maybe Lacuna. No one seems to be advocating "the ettin doesn't stand for anything and also it was inappropriate for Rich to have him call Saha a bitch."