Bruce himself wrote:
Some Witnesses fear what others may write. They do not like even mild criticism.
That seems like best explanation for the complaints from JWs. And the reason they contacted Bruce is because he is a JW and he controls the blog.
If there was any good evidence of misogyny then it’s strange that neither Bruce nor Rachael have quoted a single comment to that effect. They seem to be relying on the idea that any complaint to Bruce about Rachael is in itself misogyny. But it seems rather obvious that if a JW is disturbed about comments on the blog then they are going to complain to the owner of the blog who is a fellow JW, rather than to someone who is not the owner, not a JW, and the source of the critical comments in the first place.
Gender is a red herring, and a convenient way of avoiding facing the real issue here: that a collaboration between a JW and a non-JW probably involves some compromises that will not please everyone. That they are seem presently unwilling to address this issue without weaponising gender as a diversion hardly inspires confidence.