I've come to the conclusion that the word misandry exists. It's been used hundreds of times on this thread alone.
I believe that misandry is a word that was invented by 19th century MRAs (Men's Rights Activists) specifically to smear, denigrate and destroy feminists from the start of First Wave feminism in the 1800s.
I believe that the word misandry was not invented to describe hatred of men. On the contrary, it was invented to silence women who dared to point out widespread discrimination by men against women. That discrimination against women is not some imaginary thing, then or now.
I do not believe that MRAs are a modern invention of the 1980s or later. They have been around since the start of feminism. The recent revival of MRAs in the internet age is not about increased discrimination against men. It is to oppose the resurgence of feminism due to the Patriarchal backlash against feminism. For example, anyone following the current U.S. Republican Primary campaign can see how anti-woman thinking has moved even higher up the Patriarchy's agenda.
Most people who shout "misandry!" seem to be obsessed with some fantasy that the world is ruled by feminists, who hold all the power and allegedly are out to eliminate men. The evidence is precisely the opposite of their MRA fantasy. The Patriarchy uses MRAs to fight Patriarchy's enemy, which is feminism. The Patriarchy is not primarily concerned with giving more rights to its MRA foot soldiers. If feminism were to be destroyed, the Patriarchy would not reward MRAs with more rights than they had before feminism. More parental leave for fathers under the Patriarchy, without the help of feminists? No chance.
Misandry is all about the Patriarchy pushing its agenda of anti-feminism. MRAs will not improve the world for most people by fighting feminists. MRAs will preserve the more pro-male, more anti-woman Patriarchy. It's ironic that discrimination against some men in the real world actually comes from the male-dominated Patriarchy, not from feminism.
Misandry is not the "other side of the coin" equal and opposite to misogyny. Misogyny has involved real, documented, systematic, institutionalised discrimination and hatred of women, causing the (often violent) deaths of millions of women at the hands of many men, for at least the past 2,500 years. Women have not done this to men.