"Trans hate" and "transphobia" is what gender ideology calls not wanting to have women's rights and children's safety destroyed by beliefs that are not based in reality.
I don't hate any trans person for being trans. That would be transphobia.
I do have a problem with being expected to believe and pretend I go along with nonsense, and women being expected to put up with males in their safe spaces just because they "identify as women". A male cannot be female or vice versa, and that is not transphobia, it's simply a fact - a fact that many trans people themselves understand. If that fact changed, and there was clear scientific evidence to show it (not pseudoscience, actual peer-reviewed science that showed people could literally change sex) I would happily change my mind.
Likewise I object to children being told they are trans and must be the opposite sex just because they don't conform to gender stereotypes that feminists have been fighting against for decades. And then being given harmful, untested and irreversible treatments they often come to regret.
I am objecting to a false, unevidenced and harmful ideology. Not to trans people. There are many trans people who agree with this stance too.
However, there are people who do actually hate trans people for the sake of it and want to persecute and harm them. Actual bigots. Oddly enough the gender ideologists never seem to make that much of a fuss about them and instead just go for women who want to discuss women's and children's rights and safety.