I don't think most transwomen fell contempt or hatred at all when they compete in womens sports.
However, they are seizing on a sudden advantage they have been given, which is at the expense of sportswomen
It already distorts some womens sports at all levels
and it may soon be that girls and womens sports are no longer for females, unless the top girls and women are prepared to trail in last.
Biology means that those who were mediocre in mens sports can be top class in womens sports
That transwoman in the photo above is probably a very nice person, but irrc they were over 50 years old
and had insufficient talent to be successful when they were a young man ocmpeting against other young men,
but are now able to be the star in a team of young sportswomen aged around 20.
That means a young women athlete was unfairly deprived of that place, so that a mediocre male athlete could be a star.