Many unbelievers think the Bible is misogynistic. That's based, in part, on their ignorant misunderstanding of Scripture. But it's also based on the fact that their value-system, such as it is, is incompatible with Christian ethics. By the same token, many unbelievers think Christians are misogynistic.
There are, of course, some cases of abuse in conservative Christian circles. The combination of sin and power inevitably results in some abuse of power. And that's true in feminism and complementarianism alike.
But who are the real women-haters? I knew my grandmother for about 20 years, from her 70s to her 90s. To judge by pictures, she was pretty as a young woman. But by the time I knew her, that had faded. She wasn't unattractive. She just looked her age. She looked like an old woman–because that's exactly what she was.
I adored by grandmother. She was a strong godly woman. A woman of faith. A woman of prayer.
However, she's not the kind of woman who'd every appear on the cover of Vanity Fair. She didn't look the part or act the part.
Now, one reason I continue to call Jenner Bruce rather than Caitlyn is because it's profoundly demeaning to women to pretend that he's a real woman. That cheapens the meaning of womanhood.
Bruce Jenner does not and cannot epitomize what is good and distinctive about womanhood. He’s a parody of a woman. A travesty.
To praise his "transition" makes you a woman-hater. It means you don't value real women. You don't value what is good and distinctive about womanhood. You accept a cheap imitation. A simulacrum. Surface without virtue. You act as if an obvious ersatz substitute is equivalent to the real thing.